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:

$x=\frac{1}{2}y+6$

Next, solve for y:

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

The previous equation is the inverse function:

$f^{-1}(x)=2x-12$