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anonymous

  • one year ago

Algebra II Help! Please! I'm not asking for an answer, I just need help! Let f(x) = 4x^2 + x + 1 and g(x) = x^2 – 2. Find g(f(x)). Show each step of your work.

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  1. misty1212
    • one year ago
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    HI!!

  2. Vocaloid
    • one year ago
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    g(f(x)) means look at g(x) = x^2 - 2, and replace the "x" with f(x), which equals 4x^2 + x + 1|dw:1434675747293:dw|

  3. misty1212
    • one year ago
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    work from the inside out \[g(f(x))=g(4x^2+x+1)\] then since \[g(\spadesuit)=\spadesuit^2-2\] you have \[g(f(x))=g(4x^2+x+1)=(4x^2+x+1)^2-2\]

  4. anonymous
    • one year ago
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    I'm sorry, I'm not understanding? I'm normally decent with math but I have a difficult time with functions. :(

  5. Vocaloid
    • one year ago
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    well, we know that g(x) = x^2 - 2, right? if we replace x with f(x) on both sides, what do we get?

  6. Vocaloid
    • one year ago
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    |dw:1434676036908:dw|

  7. Vocaloid
    • one year ago
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    does it make a little more sense now?

  8. anonymous
    • one year ago
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    Kind of...

  9. anonymous
    • one year ago
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    I think I got it. Thank you both for your help.

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