This problem is a checkpoint for determining the equation for the inverse of a function. It will be referred to as Checkpoint 8.

Consider the function $2\sqrt{3(x-1)}+5$ .

1. What is the equation for the inverse of $f\left(x\right)$?

2. Sketch the graph of both the original and the inverse.

Check your answers by referring to the Checkpoint 8 materials located at the back of your book.

Ideally, at this point you are comfortable working with these types of problems and can solve them correctly. If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 8 materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.