Question

Can someone please help me solve the following?y = 1/2x + 6find the inverse function

Answer 1

In order to find the inverse relation, proceed as follow:

Let y as x and x as y in the given equation:

`x=(1)/(2)y+6`

Next, solve for y:

`\begin{gathered} x-6=(1)/(2)y \\ (1)/(2)y=x-6 \\ y=2(x-6) \\ y=2x-12 \end{gathered}`

The previous equation is the inverse function:

`f^(-1)(x)=2x-12`