Question

The function  is one-to-one.Find its inverse and check your answer.Graph f, f -1 and  y = x on the same coordinate axes.

f (x) = 4x + 2

Answer 1

Step 1:

The function

Change to .

Interchange and .

Solve for .

Change to

.

Step 2:

Check :

.

Therefore, and are inverse functions.

Step 3:

The graph of one-to-one function and are symmetric with respect to the line .

Solution:

.