SOLUTION: If f(x)=x^2 and g(x)=2x-1, then f(g(-2)) is 1)25 2)15 3)9 4)7

Algebra ->  Functions -> SOLUTION: If f(x)=x^2 and g(x)=2x-1, then f(g(-2)) is 1)25 2)15 3)9 4)7      Log On


   



Question 455285: If f(x)=x^2 and g(x)=2x-1, then f(g(-2)) is
1)25
2)15
3)9
4)7

Answer by mathmartian(7) About Me  (Show Source):
You can put this solution on YOUR website!
In order to work with composite functions, remember to work from the inside out. So let's solve for g(-2) first
g(-2)=2(-2)-1
g(-2)=-4-1
g(-2)=-5
Since g(-2)=-5, we can substitute it into f(g(-2)) to get f(-5)
So let's solve f(-5)
f(-5)=(-5)²
f(-5)=25
So the answer is 25 or solution 1.