Question

Can someone please show steps for this? i tried using a calculator but there was no fog sign thing.

Answer 1

(f о g)(0) = 24

Explanation:

f(x) = -5x - 1

g(x) = x² - 5

When you see (f о g)(#), they want you to plug the function g(x) into the function f(x).

First find g(0).

g(0) = (0)² - 5

g(0) = 0 - 5

g(0) = -5

Now plug g(0) = -5 into f(x) by replacing all x's with -5.

(f о g)(0) = -5(-5) - 1

Multiply.

(f о g)(0) = 25 - 1

Subtract.

(f о g)(0) = 24