Answer:
-53
Explanation:
Now (f o g)(x) is a called a composite function. If can be written as
f (g(x)). This means that we will substitute the x in f(x) with g(x).
Therefore, we will solve this on two steps:
1- get the general expression of (f o g)(x)
2- evaluate this expression at x = -5
Step 1: getting the expression:
We are given that:
f (x) = -2x - 7
g (x) = -4x + 3
( f o g)(x) = f (g(x))
= -2(-4x+3) - 7
= 8x - 6 - 7
= 8x - 13
Step 2: evaluating the expression at x = -5:
We wil substitute in the expression we got in step 1 with x = -5.
(f o g)(-5) = 8(-5) - 13 = -40 - 13 = -53
Hope this helps :)
