Question

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

Answer 1

Answer:

Step-by-step 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:

$y+2=3x$

$\frac{y+2}{3}=x$

Step 3:

"x" and "y" are exchanged:

$y=\frac{x+2}{3}$

The inverse is:

$f^{-1}(x)=\frac{x+2}{3}$