Answer:
(f o g)(4) = - 49
Explanation:
F(x) = 3x - 7
g(x) = -2x - 6
To find (f o g)(4) we must first find (f o g)(x)
To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with
g (x).
We have
(f o g)(x) = 3( - 2x - 6) - 7
= - 6x - 18 - 7
We have
(f o g)(x) = - 6x - 25
To find (f o g)(4), substitute the value of x that's 4 into (f o g)(x)
We have
(f o g)(4) = - 6(4) - 25
= - 24 - 25
We have the final answer as
(f o g)(4) = - 49
Hope this helps you