Question

What is the value of g(h(-4)) when using the given functions g(n) = 4n + 5 and h(n) = n^2 - n?

A) -4
B) 15
C) 16
D) -15

Answer 1

To find the value of g(h(-4)), substitute -4 into h(n) and then substitute the result into g(n). The value of g(h(-4)) is 85.

Step-by-step explanation:

To find the value of g(h(-4)), we need to substitute the value of -4 into the function h(n) = n^2 - n and then substitute the result into the function g(n) = 4n + 5.

First, substitute -4 into the function h(n) = n^2 - n:

h(-4) = (-4)^2 - (-4) = 16 + 4 = 20

Next, substitute the result 20 into the function g(n) = 4n + 5:

g(20) = 4(20) + 5 = 80 + 5 = 85

Therefore, the value of g(h(-4)) is 85.