Question

If f(x) = 3x and g(x) = 1/3x, which expression could be used to verify that g(x) is the inverse of f(x)?

A. 3x(x/3)
B. (1/3x)(3x)
C. 1/3(3x)
D. 1/3(1/3x)

Answer 1

C. 1/3(3x)

Explanation:

In order to verify if functions are inverses, you need to plug one into the other. In this case, it would be g of f(x) or g(f(x)). You will be able to see that g(f(x)) = 1/3(3x)