### Home > A2C > Chapter 7 > Lesson 7.3.1 > Problem 7-163

7-163.

Consider the function

. Homework Help ✎ What are the domain and range of

*f*(*x*)?If

*g*(*x*) =*x*− 10, what is*f*(*g*(*x*))?What are the domain and range of

*f*(*g*(*x*))?Is

*f*(*g*(*x*)) =*g*(*f*(*x*))?**Justify**why or why not.

Think about what the graph would look like.

Try making a table if you do not remember what the graph looks like.

*f*(*g*(*x*)) is the same as *f*(*x* − 10). Why?

Find *f*(*x* − 10).

See the hint in part (a).

*f*(*g*(*x*)) is the same as *f*(*x* − 10).

Will these yield the same function?