This problem is a checkpoint for using function notation and identifying domain and range. It will be referred to as Checkpoint 3B.

Given $g(x)=2(x+3)^2$, state the domain and range, calculate $g(−5)$ and $g(a+1)$, and then find the value of $x$ when $g(x)=32$ and when $g(x)=0$ . 

Check your answers by referring to the Checkpoint 3B 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 3B materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.