Question

If f(x) = 3x – 15, then f-'(x) =D

Answer 1

`f^(-1)(x)=(x+15)/(3)`

or

`f^(-1)(x)=(x)/(3)+5`

Explanation:

That means we want to find the inverse function of f(x)=3x-15.

The inverse function is just the swapping of x and y really. We tend to remake the y the subject afterwards.

So we are given:

y=3x-15

First step: Swap x and y

x=3y-15

Now it's time to solve for y.

Second step: Add 15 on both sides:

x+15=3y

Third step: Divide both sides by 3:

(x+15)/3=y

The inverse function is:

`f^(-1)(x)=(x+15)/(3)`

You can also split up the fraction like so:

`f^(-1)(x)=(x)/(3)+(15)/(3)`

The last fraction there can be reduced:

`f^(-1)(x)=(x)/(3)+5`