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Make sure to plot both lines the relation and its inverse

Make sure to plot both lines the relation and its inverse-example-1

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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

Make sure to plot both lines the relation and its inverse-example-1
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