Question

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

Answer 1

`\begin{gathered} \\ \text{Given y=}(x)/(2)-(3)/(2) \end{gathered}`

We are required to find the inverse of the function

The first step is to interchange the variable x for y

`x=(y)/(2)-(3)/(2)`

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

`\begin{gathered} x=(y)/(2)-(3)/(2) \\ (y)/(2)=x+(3)/(2) \\ \text{ Multiply the equation throughout by 2} \\ y\text{ = 2x + 3} \end{gathered}`

The answer is y = 2x + 3