Iscale 2x

Author: s | 2025-04-25

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Download iScale 2x latest version for Mac free. iScale 2x latest update: Ma

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Aug’ 19THEGREATACE Aug’ 19Sub2OfficialNoobieJul’ 19 Expired Blox Fruits codesUnfortunately, some old Blox Fruits codes have gone inactive over the last few gameplay updates. These codes cannot be redeemed, and when attempting to do so, you’ll receive the "Code Invalid." error message. Expired Blox Fruits CodesCodeRewardsWildDares20 minutes of 2x Experience BossBuild20 minutes of 2x Experience GetPranked20 minutes of 2x Experience EARN_FRUITS20 minutes of 2x Experience FIGHT4FRUIT20 minutes of 2x Experience NOEXPLOITER20 minutes of 2x Experience NOOB2ADMIN20 minutes of 2x ExperienceCODESLIDE20 minutes of 2x Experience ADMINDARES20 minutes of 2x Experience fruitconcepts20 minutes of 2x Experience krazydares20 minutes of 2x ExperienceADMINHACKEDRedeem code for a Stat ResetADMIN_STRENGTH Redeem code for 2x Experience TRIPLEABUSE20 minutes of 2x Experience SEATROLLING20 minutes of 2x Experience 24NOADMIN20 minutes of 2x Experience youtuber_shipbattle 20 minutes of 2x Experience BoostSTAFFBATTLE20 minutes of 2x Experience DRAGONABUSE20 minutes of 2x Experience JULYUPDATE_RESET Stat ResetNOOB2PRO20 minutes of 2x Experience CINCODEMAYO_BOOST20 minutes of 2x Experience CODE_SERVICIO 20 minutes of 2x Experience Boost15B_BESTBROTHERS 60-minute 2x XP BoostDEVSCOOKING20 minutes of 2x Experience NOOB_REFUNDStat ResetTY_FOR_WATCHING20 minutes of 2x Experience GAMER_ROBOT_1M1.5 hours of 2x ExperienceADMINGIVEAWAY 20 minutes of 2x Experience SUBGAMERROBOT_RESET Stat ResetGAMERROBOT_YT 20 minutes of 2x Experience EXP_5B20 minutes of 2x Experience RESET_5BStat Reset3BVISITS 30 minutes of 2x Experience UPD16 20 minutes of 2x Experience 1MLIKES_RESET Stat Reset2BILLION 20 minutes of 2x Experience THIRDSEAStat ResetUPD15 20 minutes of 2x Experience UPD14 20 minutes of 2x Experience ShutDownFix2 20 minutes of 2x Experience 1BILLION20 minutes of 2x Experience XMASEXP 20 minutes of 2x Experience XMASRESET Stat ResetUPDATE1120 minutes of 2x Experience POINTSRESET Stat ResetUPDATE10Stat ResetCONTROL20 minutes of 2x Experience How to redeem Blox Fruits codes?Code box in Blox Fruits (Image via Roblox)Follow these simple instructions to redeem all Blox Fruits codes within a matter of minutes: After you spawn on the map, click the blue-themed gift box icon.The "Rewards Codes" interface will be displayed, now copy any active code and paste it into the "Enter code here" text box inside.Press the "Redeem" button to obtain the freebies right away!Avoid typos and spelling mistakes, as all Blox Fruits codes are case-sensitive. The best way to prevent this issue will be by copying and pasting the active codes throughout the redemption procedure. Also, if you are manually entering the codes, double-check them for typographical errors before hitting the redeem button. Also Check: 10 Best Fruits in Blox FruitsWhat are Blox Fruits codes and their importance?As mentioned before, the codes offer free Beli, stat resets, and XP boosters to help your in-game character become the strongest on the map. Blox Fruits is a game where you will require boosters and resets to improve your overall fighting efficiency and capabilities.Furthermore, 2x XP codes for Blox Fruits can be used by newbies who Download iScale 2x latest version for Mac free. iScale 2x latest update: Ma We get:Initial Start X Wins Y WinsX Strength 3X 3X 2XY Strength 3Y 2Y 3YOdds of outcome 3X/(3X+3Y) 3Y/(3X+3Y)X 1 win Start X Wins Y WinsX Strength 3X 3X 2XY Strength 2Y 1Y 2YOdds of outcome 3X/(3X+2Y) 2Y/(3X+2Y)X 1 loss Start X Wins Y WinsX Strength 2X 2X 1XY Strength 3Y 2Y 3YOdds of outcome 2X/(2X+#Y) 3Y/(2X+3Y)X 2 win Start X Wins Y WinsX Strength 3X 3X 2XY Strength 1Y 0Y 1YOdds of outcome 3X/(3X+1Y) 1Y/(3X+1Y)X 2 loss Start X Wins Y WinsX Strength 1X 1X 0XY Strength 3Y 2Y 3YOdds of outcome 1X/(1X+3Y) 3Y/(1X+3Y)X 1 win 1 loss Start X Wins Y WinsX Strength 2X 2X 1XY Strength 2Y 1Y 2YOdds of outcome 2X/(2X+2Y) 2Y/(2X+2Y)X 2 win 1 loss Start X Wins Y WinsX Strength 2X 2X 1XY Strength 1Y 0Y 1YOdds of outcome 2X/(2X+1Y) 1Y/(2X+1Y)X 1 win 2 loss Start X Wins Y WinsX Strength 1X 1X 0XY Strength 2Y 1Y 2YOdds of outcome 1X/(1X+2Y) 2Y/(1X+2Y)X 2 win 2 loss Start X Wins Y WinsX Strength 1X 1X 1XY Strength 1Y 1Y 1YOdds of outcome 1X/(1X+1Y) 1Y/(1X+1Y)So the outcomes are:X no losses 3X/(3X+3Y) * 3X/(3X+2Y) * 3X/(3X+1Y) = 27X^3/(27X^3+54X^2Y+33XY^2+6Y^3)X 1 loss 3X/(3X+3Y) * 3X/(3X+2Y) * 1Y/(3X+1Y) * 2X/(2X+1Y) + 3X/(3X+3Y) * 2Y/(3X+2Y) * 2X/(2X+2Y) * 2X/(2X+1Y) + 3Y/(3X+3Y) * 2X/(2X+3Y) * 2X/(2X+2Y) * 2X/(2X+1Y) = 2X^3Y(108X^2+165X+57)/ (108X^6+540X^5Y+1077X^4Y^2+1095X^3Y^3+587X^2Y^4+165XY^5+18Y^6)Y 1 loss 3Y/(3X+3Y) * 3Y/(2X+3Y) * 1X/(1X+3Y) * 2Y/(1X+2Y) + 3Y/(3X+3Y) * 2X/(2X+3Y) * 2Y/(2X+2Y) * 2Y/(1X+2Y) + 3X/(3X+3Y) * 2Y/(3X+2Y) * 2Y/(2X+2Y) * 2Y/(1X+2Y) = 2Y^3X(108Y^2+165Y+57)/ (108Y^6+540Y^5X+1077Y^4X^2+1095Y^3X^3+587Y^2X^4+165YX^5+18X^6)Y no losses 3Y/(3X+3Y) * 3Y/(2X+3Y) * 3Y/(1X+3Y) = 27Y^3/(27Y^3+54Y^2X+33YX^2+6X^3)***I don't guarantee the 1 loss formulae are exactly correct, as they're quitelong, and I didn't have anyone check my work; please let me know if there isa problem******These numbers just seem reasonable to me, and make logical sense in how they're calculated. I haven't tested any of this. This is most likely notthe same way battles are calculated for units that aren't little groups of 3 (like say bombers or tanks), as I describe below***Obviously, things would play out differently from this if you had an army of warriors, or just a single tank (since it's not split into three units). The single unit is quite easy though - just take the strength of it, divided by the strength of the opponent plus your strength, or X/(X+Y). The formula will actually work out like the one above for 2 losses, and then looking for

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User4379

Aug’ 19THEGREATACE Aug’ 19Sub2OfficialNoobieJul’ 19 Expired Blox Fruits codesUnfortunately, some old Blox Fruits codes have gone inactive over the last few gameplay updates. These codes cannot be redeemed, and when attempting to do so, you’ll receive the "Code Invalid." error message. Expired Blox Fruits CodesCodeRewardsWildDares20 minutes of 2x Experience BossBuild20 minutes of 2x Experience GetPranked20 minutes of 2x Experience EARN_FRUITS20 minutes of 2x Experience FIGHT4FRUIT20 minutes of 2x Experience NOEXPLOITER20 minutes of 2x Experience NOOB2ADMIN20 minutes of 2x ExperienceCODESLIDE20 minutes of 2x Experience ADMINDARES20 minutes of 2x Experience fruitconcepts20 minutes of 2x Experience krazydares20 minutes of 2x ExperienceADMINHACKEDRedeem code for a Stat ResetADMIN_STRENGTH Redeem code for 2x Experience TRIPLEABUSE20 minutes of 2x Experience SEATROLLING20 minutes of 2x Experience 24NOADMIN20 minutes of 2x Experience youtuber_shipbattle 20 minutes of 2x Experience BoostSTAFFBATTLE20 minutes of 2x Experience DRAGONABUSE20 minutes of 2x Experience JULYUPDATE_RESET Stat ResetNOOB2PRO20 minutes of 2x Experience CINCODEMAYO_BOOST20 minutes of 2x Experience CODE_SERVICIO 20 minutes of 2x Experience Boost15B_BESTBROTHERS 60-minute 2x XP BoostDEVSCOOKING20 minutes of 2x Experience NOOB_REFUNDStat ResetTY_FOR_WATCHING20 minutes of 2x Experience GAMER_ROBOT_1M1.5 hours of 2x ExperienceADMINGIVEAWAY 20 minutes of 2x Experience SUBGAMERROBOT_RESET Stat ResetGAMERROBOT_YT 20 minutes of 2x Experience EXP_5B20 minutes of 2x Experience RESET_5BStat Reset3BVISITS 30 minutes of 2x Experience UPD16 20 minutes of 2x Experience 1MLIKES_RESET Stat Reset2BILLION 20 minutes of 2x Experience THIRDSEAStat ResetUPD15 20 minutes of 2x Experience UPD14 20 minutes of 2x Experience ShutDownFix2 20 minutes of 2x Experience 1BILLION20 minutes of 2x Experience XMASEXP 20 minutes of 2x Experience XMASRESET Stat ResetUPDATE1120 minutes of 2x Experience POINTSRESET Stat ResetUPDATE10Stat ResetCONTROL20 minutes of 2x Experience How to redeem Blox Fruits codes?Code box in Blox Fruits (Image via Roblox)Follow these simple instructions to redeem all Blox Fruits codes within a matter of minutes: After you spawn on the map, click the blue-themed gift box icon.The "Rewards Codes" interface will be displayed, now copy any active code and paste it into the "Enter code here" text box inside.Press the "Redeem" button to obtain the freebies right away!Avoid typos and spelling mistakes, as all Blox Fruits codes are case-sensitive. The best way to prevent this issue will be by copying and pasting the active codes throughout the redemption procedure. Also, if you are manually entering the codes, double-check them for typographical errors before hitting the redeem button. Also Check: 10 Best Fruits in Blox FruitsWhat are Blox Fruits codes and their importance?As mentioned before, the codes offer free Beli, stat resets, and XP boosters to help your in-game character become the strongest on the map. Blox Fruits is a game where you will require boosters and resets to improve your overall fighting efficiency and capabilities.Furthermore, 2x XP codes for Blox Fruits can be used by newbies who

2025-03-30
User9389

We get:Initial Start X Wins Y WinsX Strength 3X 3X 2XY Strength 3Y 2Y 3YOdds of outcome 3X/(3X+3Y) 3Y/(3X+3Y)X 1 win Start X Wins Y WinsX Strength 3X 3X 2XY Strength 2Y 1Y 2YOdds of outcome 3X/(3X+2Y) 2Y/(3X+2Y)X 1 loss Start X Wins Y WinsX Strength 2X 2X 1XY Strength 3Y 2Y 3YOdds of outcome 2X/(2X+#Y) 3Y/(2X+3Y)X 2 win Start X Wins Y WinsX Strength 3X 3X 2XY Strength 1Y 0Y 1YOdds of outcome 3X/(3X+1Y) 1Y/(3X+1Y)X 2 loss Start X Wins Y WinsX Strength 1X 1X 0XY Strength 3Y 2Y 3YOdds of outcome 1X/(1X+3Y) 3Y/(1X+3Y)X 1 win 1 loss Start X Wins Y WinsX Strength 2X 2X 1XY Strength 2Y 1Y 2YOdds of outcome 2X/(2X+2Y) 2Y/(2X+2Y)X 2 win 1 loss Start X Wins Y WinsX Strength 2X 2X 1XY Strength 1Y 0Y 1YOdds of outcome 2X/(2X+1Y) 1Y/(2X+1Y)X 1 win 2 loss Start X Wins Y WinsX Strength 1X 1X 0XY Strength 2Y 1Y 2YOdds of outcome 1X/(1X+2Y) 2Y/(1X+2Y)X 2 win 2 loss Start X Wins Y WinsX Strength 1X 1X 1XY Strength 1Y 1Y 1YOdds of outcome 1X/(1X+1Y) 1Y/(1X+1Y)So the outcomes are:X no losses 3X/(3X+3Y) * 3X/(3X+2Y) * 3X/(3X+1Y) = 27X^3/(27X^3+54X^2Y+33XY^2+6Y^3)X 1 loss 3X/(3X+3Y) * 3X/(3X+2Y) * 1Y/(3X+1Y) * 2X/(2X+1Y) + 3X/(3X+3Y) * 2Y/(3X+2Y) * 2X/(2X+2Y) * 2X/(2X+1Y) + 3Y/(3X+3Y) * 2X/(2X+3Y) * 2X/(2X+2Y) * 2X/(2X+1Y) = 2X^3Y(108X^2+165X+57)/ (108X^6+540X^5Y+1077X^4Y^2+1095X^3Y^3+587X^2Y^4+165XY^5+18Y^6)Y 1 loss 3Y/(3X+3Y) * 3Y/(2X+3Y) * 1X/(1X+3Y) * 2Y/(1X+2Y) + 3Y/(3X+3Y) * 2X/(2X+3Y) * 2Y/(2X+2Y) * 2Y/(1X+2Y) + 3X/(3X+3Y) * 2Y/(3X+2Y) * 2Y/(2X+2Y) * 2Y/(1X+2Y) = 2Y^3X(108Y^2+165Y+57)/ (108Y^6+540Y^5X+1077Y^4X^2+1095Y^3X^3+587Y^2X^4+165YX^5+18X^6)Y no losses 3Y/(3X+3Y) * 3Y/(2X+3Y) * 3Y/(1X+3Y) = 27Y^3/(27Y^3+54Y^2X+33YX^2+6X^3)***I don't guarantee the 1 loss formulae are exactly correct, as they're quitelong, and I didn't have anyone check my work; please let me know if there isa problem******These numbers just seem reasonable to me, and make logical sense in how they're calculated. I haven't tested any of this. This is most likely notthe same way battles are calculated for units that aren't little groups of 3 (like say bombers or tanks), as I describe below***Obviously, things would play out differently from this if you had an army of warriors, or just a single tank (since it's not split into three units). The single unit is quite easy though - just take the strength of it, divided by the strength of the opponent plus your strength, or X/(X+Y). The formula will actually work out like the one above for 2 losses, and then looking for

2025-03-30
User1492

Downtown is unlocked after completing Mission 2-11 (14 - Youth Must Be Served) in The Skatepark area.Downtown has 98 missions. The Landmark for this area is News Stand. Completing Mission 97 - Purple Thunder unlocks the West Haven area and is a requirement for unlocking the Train Station area. Missions in this area require items from the Fruits, Wood, Farm Animals, Dairy Products, Landscaping, Insects, Construction Material, Safety Tools, Tools, Utility Vehicles, Cars, Pastry, Coffee, Housing and Decor, and Designer Furniture item families.Summary of Requests[]4x Strawberries , 3x Peach , 4x Grapefruit , 5x Bananas , 2x Melon , 1x Watermelon , 1x Coconut 7x Wood Beam , 19x Wood Planks 4x Egg , 1x Chicken 4x Milk , 4x Cream , 5x Yogurt , 2x Butter , 6x Cheese 2x Seeds , 3x Small Trimmed Bush , 2x Trimmed Bush , 3x Tree , 2x Blossoming Tree , 5x Flowers 1x Stink Bug , 1x Red Stinkbug , 1x Ladybug 7x Roof Tiles , 10x Steel Pipes , 10x Steel Beam , 9x Garden Tiles , 6x Glass , 3x Colored Glass , 1x Granite , 1x Marble 9x Safety Tape , 2x Helmet , 10x Pair of Gloves , 12x Safety Cone , 10x Construction Light , 5x Lantern , 6x Traffic Light 1x Hammer , 5x Shovel , 5x Watering Can , 7x Paint Bucket , 4x Glue , 3x Ladder , 3x Chainsaw , 2x Jackhammer 6x Forklift , 2x Cement Mixer , 3x Telehandler 1x Purple Thunder 4x Dough , 5x Shortbread Biscuit , 2x Muffin , 6x Waffles , 3x Danish , 4x Donut , 3x Cake Log , 1x Strawberry Cake , 1x Macarons 7x Coffee Americano , 12x Coffee Latte , 5x Frappucino 4x Porcelain Plate , 2x Porcelain Cup , 1x Teapot , 5x Vase , 2x Desk Mirror , 2x Desk Lamp , 2x Standing Lamp , 2x Standing Clock , 3x Painting , 2x Harp , 1x Gramophone 8x Chair , 4x Coffee Table , 2x Armchair , 4x Bed , 2x Wardrobe , 2x Bookshelf Summary of Rewards[]Task

2025-04-23
User2641

From exploring the world to taking on bosses, and more, there is a lot to do in Roblox Blox Fruits. The game has over 34 billion visits to its name, and you can also redeem codes in August 2024 to make the grind easier.Here’s a list of active Blox Fruits codes that can get you free EXP, Resets, Beli, and more.Active Blox Fruits codesNOEXPLOITER: 2x XP for 20 minutesKITT_RESET: Free Stat ResetSUB2OFFICIALNOOBIE: 2x XP for 20 minutesAXIORE: 2x XP for 20 minutesBIGNEWS: In-game title “BIGNEWS”BLUXXY: 2x XP for 20 minutesCHANDLER: 0 Beli joke code ($0)ENYU_IS_PRO: 2x XP for 20 minutesFUDD10: 1 BeliFUDD10_V2: 2 BeliJCWK: 2x XP for 20 minutesKITTGAMING: 2x XP for 20 minutesMAGICBUS: 2x XP for 20 minutesSTARCODEHEO: 2x XP for 20 minutesSTRAWHATMAINE: 2x XP for 20 minutesSUB2CAPTAINMAUI: 2x XP for 20 minutesSUB2DAIGROCK: 2x XP for 20 minutesSUB2FER999: 2x XP for 20 minutesSUB2GAMERROBOT_EXP1: 2x XP for 30 minutesSUB2GAMERROBOT_RESET1: Free Stat ResetSUB2NOOBMASTER123: 2x XP for 20 minutesSUB2UNCLEKIZARU: Free Stat ResetTANTAIGAMING: 2x XP for 20 minutesTHEGREATACE: 2x XP for 20 minutesAll of these codes have been checked as working on August 2, 2024. You can use all of these codes at once, but take note that they don’t stack. So if you use two codes that give you extra XP for 20 minutes, you won’t get 4x XP for 20 minutes, but instead 2x XP for 40 minutes. Expired codesNOOB2ADMINCODESLIDEADMINHACKEDADMINDARESFRUITCONCEPTSKRAZYDARESTRIPLEABUSESEATROLLING24NOADMINREWARDFUNNEWTROLLSECRET_ADMINADMIN_TROLLyoutuber_shipbattleJULYUPDATE_RESETSTAFFBATTLEADMIN_STRENGTHDRAGONABUSENOOB2PRODEVSCOOKINGCINCODEMAYO_BOOSTCODE_SERVICIO15B_BESTBROTHERSNOOB_REFUNDTY_FOR_WATCHINGGAMER_ROBOT_1MADMINGIVEAWAYSUBGAMERROBOT_RESETEXP_5B1BILLION1MLIKES_RESET2BILLION3BVISITSCONTROLPOINTSRESETSHUTDOWNFIX2THIRDSEAUPDATE10UPDATE11UPD14UPD15UPD16XMASEXPXMASRESETHow to redeem codes in Blox FruitsLaunch Blox Fruits.Click on the blue and white gift icon on the left side of the screen. Enter a code and click Redeem.Gamer Robot Inc.You can enter your code here to redeem it once you’ve logged in.Where can I find more Blox Fruits codes?You can find more Blox Fruits codes by joining the official Discord server and following The game’s X account. This will also keep you updated about what’s happening in and around the game.The official Gamer Robot channel on YouTube is another great source that can help you get new codes when they are released. Why are my codes not working?If a Blox Fruits code doesn’t work on Roblox, it might have been deactivated by the game’s developers. While most codes have a long lifespan, developers might deactivate them during major updates. If there isn’t an ongoing update, remember that codes are case-sensitive, so ensure you’ve copied them as they’re spelled on this page.Similar to Blox Fruit, games such as Attack on Titan Revolution,

2025-04-23
User5980

1650 MHz 230 mm/9.1 inches, No outputs Sapphire NITRO RX 470 Mining 8 GB 926 MHz 1236 MHz 1650 MHz 8 GB, 230 mm/9.1 inches, 1x DVI Sapphire NITRO RX 470 Mining 8 GB 926 MHz 1206 MHz 1650 MHz 8 GB, 230 mm/9.1 inches, No outputs Sapphire NITRO RX 470 OC 1140 MHz 1216 MHz 1750 MHz 230 mm/9.1 inches, 1x DVI 2x HDMI 2x DisplayPort Sapphire NITRO RX 470 OC 1140 MHz 1236 MHz 1750 MHz 230 mm/9.1 inches, 1x DVI 2x HDMI 2x DisplayPort Sapphire NITRO RX 470 OC 8 GB 1140 MHz 1236 MHz 1750 MHz 8 GB, 230 mm/9.1 inches, 1x DVI 2x HDMI 2x DisplayPort Sapphire NITRO+ RX 470 OC 1143 MHz 1260 MHz 1750 MHz 1x DVI 2x HDMI 2x DisplayPort Sapphire NITRO+ RX 470 OC 1143 MHz 1216 MHz 1750 MHz 1x DVI 2x HDMI 2x DisplayPort Sapphire NITRO+ RX 470 OC 8 GB 1121 MHz 1216 MHz 2000 MHz 8 GB, 1x DVI 2x HDMI 2x DisplayPort Sapphire NITRO+ RX 470 OC 8 GB 1143 MHz 1260 MHz 2000 MHz 8 GB, 1x DVI 2x HDMI 2x DisplayPort Sapphire RX 470 ITX OC 1121 MHz 1216 MHz 2000 MHz 1x DVI 2x HDMI 2x DisplayPort Sapphire RX 470 ITX OC 8 GB 1121 MHz 1216 MHz 2000 MHz 8 GB, 1x DVI 2x HDMI 2x DisplayPort Sapphire RX 470 Platinum Edition 926 MHz 1216 MHz 1750 MHz VisionTek RX 470 Overclocked 926 MHz 1226 MHz 1750 MHz XFX RS RX 470 Black Edition 926 MHz 1256 MHz 1750 MHz 1x DVI 1x HDMI 3x DisplayPort XFX RS RX 470 Black Limited Edition 926 MHz 1280 MHz 1750 MHz 1x DVI 1x HDMI 3x DisplayPort XFX RS RX 470 Triple X Best Buy Exclusive 926 MHz 1226 MHz 1750 MHz 1x DVI 1x HDMI 3x DisplayPort XFX RS RX 470 Triple X Edition 926 MHz 1226 MHz 1750 MHz 1x DVI 1x HDMI 3x DisplayPort XFX RX 470 Triple X Edition 926 MHz 1226 MHz 1750 MHz 220 mm/8.7 inches, 1x DVI 1x HDMI 3x DisplayPort Yeston RX 470 GAEA 926 MHz 1206 MHz 1650 MHz 2x DVI 1x HDMI 1x DisplayPort Yeston RX 470 GAMEACE 926 MHz 1206 MHz 1650 MHz 250 mm/9.8 inches, 1x DVI 1x HDMI 3x DisplayPort Yeston RX 470 GAMEACE TOP 926 MHz 1250 MHz 1650 MHz 250 mm/9.8 inches, 1x DVI 1x HDMI 3x DisplayPort

2025-03-28
User1693

Order in the composition of a function is important because (f ∘ g) (x) is NOT the same as (g ∘ f) (x).Let’s look at the following problems:Example 1Given the functions f (x) = x2 + 6 and g (x) = 2x – 1, find (f ∘ g) (x).SolutionSubstitute x with 2x – 1 in the function f(x) = x2 + 6.(f ∘ g) (x) = (2x – 1)2 + 6 = (2x – 1) (2x – 1) + 6Apply FOIL= 4x2 – 4x + 1 + 6= 4x2 – 4x + 7Example 2Given the functions g (x) = 2x – 1 and f (x) = x2 + 6, find (g ∘ f) (x).SolutionSubstitute x with x2 + 6 in the function g (x) = 2x – 1(g ∘ f) (x) = 2(x2 + 6) – 1Use the distributive property to remove the parentheses.= 2x2 + 12 – 1= 2x2 + 11Example 3Given f (x) = 2x + 3, find (f ∘ f) (x).Solution(f ∘ f) (x) = f[f(x)]= 2(2x + 3) + 3= 4x + 9Example 4Find (g ∘ f) (x) given that, f (x) = 2x + 3 and g (x) = –x2 + 5⟹ (g ∘ f) (x) = g [f (x)]Replace x in g(x) = –x2 + 5 with 2x + 3= – (2x + 3)2 + 5= – (4x2 + 12x + 9) + 5= –4x2 – 12x – 9 + 5= –4x2 – 12x – 4Example 5Evaluate f [g (6)] given that, f (x) = 5x + 4 and g (x) = x – 3SolutionFirst, find the value of f(g(x)).⟹ f (g (x)) = 5(x – 3) + 4= 5x – 15 + 4= 5x – 11Now substitute x in f(g(x)) with 6⟹ 5(6) – 11⟹ 30 – 11= 19Therefore, f [g (6)] =

2025-04-20

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