Question

Make sure to plot both lines the relation and its inverse

Answer 1

Given the equation of the line

`y=3x-5`

We can use the x, and y-intercept to plot the graph

`(0,-5)and((5)/(3),0)`

We can obtain the inverse as follow:

`\begin{gathered} \text{make x the subject of the formula} \\ 3x=y+5 \\ x=(y+5)/(3) \end{gathered}`

Thus, the inverse of y will be

`f^(-1)(x)=(x+5)/(3)`

similarly, we can get the x and y-intercept

`(-5,0)\text{and(}0,(5)/(3)\text{)}`

The plot can be shown as