Question

What is the inverse of f(x) =x/12 +15

Answer 1

The given function is

`f(x)=(x)/(12)+15`

To find the inverse of this function, we have to isolate x.

`y=(x)/(12)+15`

First, we subtract 15 on each side

`\begin{gathered} y-15=(x)/(12)+15-15 \\ y-15=(x)/(12) \end{gathered}`

Then, we multiply 12 on each side

`\begin{gathered} 12(y-15)=12\cdot(x)/(12) \\ 12y-180=x \end{gathered}`

Now, we exchange the variables, that is, we change x for y, and we change y for x.

`y=12x-180`

Therefore, the inverse is

`f(x)^(-1)=12x-180`