If f(x) = 2x^2+1f(x)=2x2+1 and g(x) = 3x-2g(x)=3x2, what is the value of f(g(-2))f(g(2))?

1 Answer
Jun 13, 2018

f(g(-2))=129f(g(2))=129

Explanation:

First we need g(-2)g(2):
g(-2)=3(-2)-2=-6-2=-8g(2)=3(2)2=62=8

Now we put that value into f(x)f(x):
f(g(-2))=f(-8)=2(-8)^2+1=2(64)+1=129f(g(2))=f(8)=2(8)2+1=2(64)+1=129