Answer:
16
Explanation:
There are three possible equations: the first is used for inputs (x-values) in between negative infinity and -7, the second for inputs in between -7 and 2, and the third for inputs in between 2 and infinity. 7 is in between 2 and infinity so the third equation is applicable.
![g(x)=(x+1)(x-5)](https://img.qammunity.org/2021/formulas/mathematics/college/vlj7xor08cb8nckjzbvu6l1tjsj7oy6m3f.png)
Plug in the values
Simplify
![g(7)=16](https://img.qammunity.org/2021/formulas/mathematics/college/xikvxgr5gju7b6qdpgvhy4gxys9mmmbbr1.png)