Question

Which of the following function pairs are inverses? Options and questions below:

Answer 1

Answer:

Second choice

Step-by-step explanation:

To find inverses, we follow the steps:

1. exchange variables x and y

2. solve for y in terms of x.

The resulting function is the inverse.

Take case 2 as an example:

f(x) = y = 2x-3

1. exchange x and y : x=2y-3

2. solve for y: x+3=2y => y=(x+3)/2 = g(x)

Since the inverse of f(x) is g(x)=(x+3)/2, the second choice is the answer.