SOLUTION: Hi, If F(X)=x^2 and G(X)=3X=1 Then F(G(-2))=? Thank You!

Algebra ->  Functions -> SOLUTION: Hi, If F(X)=x^2 and G(X)=3X=1 Then F(G(-2))=? Thank You!      Log On


   

Question 148251: Hi,
If F(X)=x^2 and G(X)=3X=1 Then F(G(-2))=?
Thank You!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
F%28x%29=x%5E2
G%28x%29=3x-1
To make the composite function, substitute 3x-1 for x in f,
F%28G%28x%29%29=%283x-1%29%5E2
F%28G%28-2%29%29=%283%28-2%29-1%29%5E2
F%28G%28-2%29%29=%28-6-1%29%5E2
F%28G%28-2%29%29=%28-7%29%5E2
F%28G%28-2%29%29=49