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anonymous

  • one year ago

Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work.

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  1. anonymous
    • one year ago
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    can someone help me out with this one?

  2. anonymous
    • one year ago
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    @Hero hey are you busy right now? do you have time right now to help or should i ask later?

  3. anonymous
    • one year ago
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    To find f(g(x)) you replace all the x's in f(x) with the expression from g(x).|dw:1439418816269:dw|

  4. anonymous
    • one year ago
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    it's not f(g(x) though

  5. anonymous
    • one year ago
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    it's g(f(x))

  6. anonymous
    • one year ago
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    My issue with why I'm confused is when you put the f in the g, i got gx=(4x^2 + x +1)^2 but that doesnt seem right

  7. anonymous
    • one year ago
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    you are right. I misread it. You just do it the other way around. Replace x in g(x) with 4x² + x + 1

  8. anonymous
    • one year ago
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    What you have is right, you just need to keep the -2

  9. anonymous
    • one year ago
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    \[g(f(x)) = (4x^2+x+1)^2-2\]

  10. anonymous
    • one year ago
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    do you have to expand it?

  11. anonymous
    • one year ago
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    ok do you do (4x^2 + x + 1) * (4x^2 + x + 1) or do you just apply the ^2 one time?

  12. anonymous
    • one year ago
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    yea you gotta solve it i guess

  13. anonymous
    • one year ago
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    yeah you have to do (4x^2 + x + 1) * (4x^2 + x + 1)

  14. anonymous
    • one year ago
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    ok i did that and im so confused tbh like idk what to do

  15. anonymous
    • one year ago
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    i know how to multiply everything but its just so much

  16. anonymous
    • one year ago
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    yeah it's a lot to keep track of. I distribute everything in the 1st parentheses to everything in the 2nd and add them all up at the end.|dw:1439419351533:dw|

  17. anonymous
    • one year ago
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    then combine with the -2

  18. anonymous
    • one year ago
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    flutter ok i knew i was doing it right i just wasnt sure. anyway thank you so much man i really appreciate it

  19. anonymous
    • one year ago
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    you're welcome

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