### Home > CCA2 > Chapter 5 > Lesson 5.1.1 > Problem5-8

5-8.

Graph $y = \frac { 1 } { 2 } x - 3$ and its inverse function on the same set of axes. 5-8 HW eTool (Desmos). Homework Help ✎

1. What is the equation of the inverse function?

What is being done to $x$? Make a list and undo.

1. Add $3$ to both sides of the equation.

2. Multiply both sides of the equation by $2$

$y=2(x+3)$

2. Does this graph, including both lines, have a line of symmetry? If so, what is the equation of the line of symmetry?

The line of symmetry is $y=x$.

Use the eTool below to view the graphs of the lines in this problem.
Click the link at right for the full version of the eTool: CCA2 5-8 HW eTool