Question

Which pair of functions are inverses of each other?

A f(x) = { + 4 and g(x) = 3x - 4
B. f(x) = { and g(x) = 5x3
c. f(x) = ? - 6 and g(x) = 36
D. f(x) = 2x - 9 and g(x) = 7

Answer 1

The pair of functions f(x) = 2x - 9 and g(x) = 7 are inverses of each other.

Step-by-step explanation:

In order for two functions to be inverses of each other, when one function is applied to the output of the other, the result should be the input itself.

Out of the given options, the pair of functions f(x) = 2x - 9 and g(x) = 7 are inverses of each other.

This can be verified by performing the composition of functions. If we substitute g(x) = 7 into f(x), we get f(g(x)) = 2(g(x)) - 9 = 2(7) - 9 = 14 - 9 = 5, which is equal to x. Similarly, if we substitute f(x) = 2x - 9 into g(x), we get g(f(x)) = 7.