Question

F(x) = 3x - 1 find an inverse

Answer 1

Given:

F(x) = 3x - 1

To find the inverse of the function:

Let us take the function be,

y = 3x - 1

Now, swap the variables,

x = 3y - 1

Then, solve for y

We get,

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

Hence, the inverse of the function is

`(x+1)/(3)`