Question

What is the inverse of the function f(x) = 2x + 1? h(x) = 1/2x - 1/2

Answer 1

Answer:

h(x) = x/2 - 1/2

Step-by-step explanation:

Here's the procedure for finding the inverse function algebraically:

1.  Replace the label 'f(x)' with the label 'y:'  y = 2x + 1

2. Interchange x and y:  x = 2y + 1

3.  Solve the resulting equation for y:  2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2

This result corresponds to the 1st given possible answer choice.

The desired inverse function is h(x) = x/2 - 1/2