Question

Determine the inverse of the following function and explain the process you used to find it. f(x)=3x+1

Answer 1

To find the inverse we write the function as:

`y=3x+1`

Now we interchange the name of the variable, that is:

`x=3y+1`

Now we solve the equation for y:

`\begin{gathered} x=3y+1 \\ 3y=x-1 \\ y=(x-1)/(3) \end{gathered}`

Therefore the inverse functioni is:

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