Question

Assign any number to x. Using complete sentences, explain whether f(g(x)) and g(f(x)) will always result in the same number. You will use the inverse function that you created in problem number 5 for g(x).

(The problem I made for number five was 15 = 6x – 3)

Answer 1

@robtobey

Answer 2

@bahrom7893

Answer 3

@dan815

Answer 4

\[f(f^{-1}(x)) = f^{-1}(f(x)) = x\]

so yes