anonymous
  • anonymous
Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
can someone help me out with this one?
anonymous
  • anonymous
@Hero hey are you busy right now? do you have time right now to help or should i ask later?
anonymous
  • anonymous
To find f(g(x)) you replace all the x's in f(x) with the expression from g(x).|dw:1439418816269:dw|

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anonymous
  • anonymous
it's not f(g(x) though
anonymous
  • anonymous
it's g(f(x))
anonymous
  • anonymous
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
anonymous
  • anonymous
you are right. I misread it. You just do it the other way around. Replace x in g(x) with 4x² + x + 1
anonymous
  • anonymous
What you have is right, you just need to keep the -2
anonymous
  • anonymous
\[g(f(x)) = (4x^2+x+1)^2-2\]
anonymous
  • anonymous
do you have to expand it?
anonymous
  • anonymous
ok do you do (4x^2 + x + 1) * (4x^2 + x + 1) or do you just apply the ^2 one time?
anonymous
  • anonymous
yea you gotta solve it i guess
anonymous
  • anonymous
yeah you have to do (4x^2 + x + 1) * (4x^2 + x + 1)
anonymous
  • anonymous
ok i did that and im so confused tbh like idk what to do
anonymous
  • anonymous
i know how to multiply everything but its just so much
anonymous
  • anonymous
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|
anonymous
  • anonymous
then combine with the -2
anonymous
  • anonymous
flutter ok i knew i was doing it right i just wasnt sure. anyway thank you so much man i really appreciate it
anonymous
  • anonymous
you're welcome

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