Question

What are the steps to get from the og equation (black) to its inverse (red)?

Answer 1

Given the function f(n) defined below:

`f(n)=-6n+1`

To find its inverse, we follow the steps below:

Step 1: Replace f(n) with y.

`y=-6n+1`

Step 2: Swap y and n.

`n=-6y+1`

Step 3: Solve for y.

`\begin{gathered} 6y=-n+1 \\ y=(-n+1)/(6) \end{gathered}`

Step 4: Replace y with the inverse function.

`f^(-1)(n)=(-n+1)/(6)`

These are the required steps to get the inverse function.

Alternate Method

`\begin{gathered} n-1=-6y \\ (n-1)/(-6)=y \end{gathered}`

Bring the negative to the upper part.

`\begin{gathered} (-(n-1))/(6)=y \\ y=(-n+1)/(6) \end{gathered}`