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
