Given the equation of the line
[tex]y=3x-5[/tex]
We can use the x, and y-intercept to plot the graph
[tex](0,-5)and(\frac{5}{3},0)[/tex]
We can obtain the inverse as follow:
[tex]\begin{gathered} \text{make x the subject of the formula} \\ 3x=y+5 \\ x=\frac{y+5}{3} \end{gathered}[/tex]
Thus, the inverse of y will be
[tex]f^{-1}(x)=\frac{x+5}{3}[/tex]
similarly, we can get the x and y-intercept
[tex](-5,0)\text{and(}0,\frac{5}{3}\text{)}[/tex]
The plot can be shown as
