### Home > A2C > Chapter 11 > Lesson 11.3.1 > Problem 11-132

11-132.

For the function

Sketch the graph and the inverse.

First, graph the function. Then, reflect the graph across

*y*=*x*.Find the equation of the inverse function.

Replace

*f*(*x*) with*y*, then switch the variables.Now solve for

*y*.Do not forget to replace

*y*with.Determine the domain and range of the inverse.

See graph in part (a).

Compute

.Substitute

for in the function. Now substitute the answer you found forforin the inverse function*f*^{ −1}(*x*).