Question

Let f(x) = 4x – 1 and g(x) = 2x. Find (f ° g)(–5).

1) (f ° g)(–5) = –41
2) (f ° g)(–5) = –36
3) (f ° g)(–5) = 52
4) (f ° g)(–5) = 25

Answer 1

To find (f ° g)(–5), substitute the value of x = -5 into the composition of the two functions: f(g(x)). Evaluate g(x) = 2(-5) = -10, then substitute this into f(x) = 4x - 1 to get (f ° g)(–5) = -41.

Step-by-step explanation:

To find (f ° g)(–5), we need to substitute the value of x = -5 into the composition of the two functions: f(g(x)).

First, we need to evaluate g(x) at x = -5:

g(x) = 2x

g(-5) = 2(-5) = -10

Then, we substitute this result into f(x):

f(x) = 4x - 1

f(-10) = 4(-10) - 1 = -40 - 1 = -41

Therefore, (f ° g)(–5) = -41, so the correct answer is option 1.