Answer:
(- 4)
Explanation:
To find the expression equivalent to (g of h)(5), we need to evaluate the composition of functions g and h and substitute 5 as the input.
Step 1: First, we evaluate h(x) = x - 7:
h(x) = x - 7
Step 2: Next, we substitute 5 into h(x):
h(5) = 5 - 7
h(5) = -2
Step 3: Now, we evaluate g(x) = 2x:
g(x) = 2x
Step 4: Finally, we substitute -2 (the result of h(5)) into g(x):
g(-2) = 2 × (-2)
g(-2) = - 4
[∴ The expression equivalent to (g of h)(5) is g(-2) = -4.]