SOLUTION: Given f(x)=5x + 7 and g(x)=x^2 + 7, find (g circle f)(x). Thank you.

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Question 42762This question is from textbook
: Given f(x)=5x + 7 and g(x)=x^2 + 7, find (g circle f)(x).
Thank you.
This question is from textbook

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
This is a composite function which means one polynomial is inserted into another polynomial.
First take g(x)=x^2+7.
Substitute f(x) wherever there is an x in g(x).
g of f = (5x+7)^2 + 7
= (5x+7)(5x+7) + 7
= 25x^2 + 70x + 56