Question

Find the inverse of f(x) = 12x - 3

Answer 1

`f^(-1)(x)\text{ = }(y)/(12)+(1)/(4)`

Step-by-step explanation

We want to find the inverse of the function given:

f(x) = 12x - 3

First, replace f(x) with y:

y = 12x - 3

Now, make x the subject of the function:

y + 3 = 12x

`\begin{gathered} \Rightarrow\text{ x = }(y)/(12)\text{ + }(3)/(12) \\ x\text{ = }(y)/(12)\text{ + }(1)/(4) \end{gathered}`

Now, replace x with f-1(x) and y with x:

`f^(-1)(x)\text{ = }(y)/(12)+(1)/(4)`

That is the inverse function.