Answer:
(fog)(2)=2
Step-by-step explanation:
Given
f(x)= -2x+8
and
g(x)= √(x+7)
For finding (fog)(2), we have to find (fog)(x) first
In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.
(fog)(x)= -2g(x)+8
Putting the value of g(x)
(fog)(x)= -2√(x+7)+8
We have to find (fog)(2), so we have to put at the place of x in the composition
(fog)(x)= -2√(2+7)+8
(fog)(x)= -2√9+8
= -2(3)+8
= -6+8
=2
So,
(fog)(2)=2 ..
