Question

Please help me with the question below! its due in 10 minutes!
thank you sm!

Answer 1

To find the composite function (f ◦ g)(x), we need to substitute g(x) into f(x) and simplify.

Given:

f(x) = x

g(x) = -2x + 3

To find (f ◦ g)(x), we substitute g(x) into f(x):

(f ◦ g)(x) = f(g(x))

Substituting g(x) into f(x), we get:

(f ◦ g)(x) = f(-2x + 3)

Since f(x) = x, we replace f(-2x + 3) with (-2x + 3):

(f ◦ g)(x) = -2x + 3

Therefore, the composite function (f ◦ g)(x) is -2x + 3.