Question

Given f(x)=x.x−4x+4 and g(x)=−4x, find (fog)(2).

Answer 1

To find (fog)(2), substitute x=2 into the function fog(x). First, find g(2)=-8. Next, substitute -8 into f(x) to get f(-8)=100. Therefore, (fog)(2)=100.

To find (fog)(2), we need to substitute x=2 into the function fog(x).

First, let's find g(2). We substitute x=2 into g(x) which gives us g(2)=-4(2)=-8.

Next, we substitute -8 into f(x) which gives us f(-8)=-8(-8)-4(-8)+4.

Simplifying the expression, we get f(-8)=64+32+4=100.

Therefore, (fog)(2)=f(-8)=100.