Question

Find the inverse of this function f(x)=3x+11

Answer 1

`f^(-1)(x)=(x-11)/(3)`

Step-by-step explanation:

Given the function:

`f\mleft(x\mright)=3x+11`

To find the inverse, follow the steps below:

Step 1: Replace f(x) with y.

`y=3x+11`

Step 2: Swap x and y:

`x=3y+11`

Step 3: Make y the subject of the formula:

`\begin{gathered} 3y=x-11 \\ y=(x-11)/(3) \end{gathered}`

Step 4: Replace y with the inverse function:

`f^(-1)(x)=(x-11)/(3)`