Question

Given f(x)= 3x+2, what is the Inverse Function?

Answer 1

Explanation:

For this case we must determine the inverse of the following function:

`f(x)=3x-2`

Step 1:

We would write

`y=f(x)` or
`y=3x-2`

Step 2:

We clear x:

`y+2=3x`

`(y+2)/(3)=x`

Step 3:

"x" and "y" are exchanged:

`y=(x+2)/(3)`

The inverse is:

`f^(-1)(x)=(x+2)/(3)`