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Determine the inverse of the function by interchanging the variables and solving for y in terms of X

Determine The Inverse Of The Function By Interchanging The Variables And Solving For Y In Terms Of X class=

Sagot :

[tex]\begin{gathered} \\ \text{Given y=}\frac{x}{2}-\frac{3}{2} \end{gathered}[/tex]

We are required to find the inverse of the function

The first step is to interchange the variable x for y

[tex]x=\frac{y}{2}-\frac{3}{2}[/tex]

The next step is to make y the subject of the formula

[tex]\begin{gathered} x=\frac{y}{2}-\frac{3}{2} \\ \frac{y}{2}=x+\frac{3}{2} \\ \text{ Multiply the equation throughout by 2} \\ y\text{ = 2x + 3} \end{gathered}[/tex]

The answer is y = 2x + 3

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