Question

Given g(n) = 4n - 1 and f(n) = 4n + 5, find (g•f)(-3).

A) -41
B) -35
C) -29
D) -23

Answer 1

g(f(n)) = g(4n + 5)

= 4(4n + 5) - 1

= 16n + 20 - 1

= 16n + 19

g(f(-3)) = 16(-3) + 19 = -48 + 19 = -29

The correct answer is C.

Answer 2

To find (g•f)(-3), substitute -3 into the function g(n) and then substitute the result into the function f(n). The answer is -47.

Step-by-step explanation:

To find (g•f)(-3), we need to substitute -3 into the function g(n) and then substitute the result into the function f(n).
First, we substitute -3 into g(n):
g(-3) = 4(-3) - 1 = -12 - 1 = -13
Now, we substitute -13 into f(n):
f(-13) = 4(-13) + 5 = -52 + 5 = -47