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,

$\begin{gathered} x+1=3y \\ \frac{x+1}{3}=y \\ y=\frac{x+1}{3} \end{gathered}$

Hence, the inverse of the function is

$\frac{x+1}{3}$