Question

What is the inverse of the function below?

f(x) = x/3 -2
O A. f1(x) = 2(x+3)
O B. f¹(x) = 3(x+2)
O c. f¹(x) = 3(x - 2)
OD. f¹(x) = 2(x-3)

Answer 1

f⁻¹
`(x)` =
`3(x+2)`

Explanation:

The first step to finding the inverse of a function is to let
`y=f(x)`.

This would mean
`y=(x)/(3)-2`.

Then we swap
`x` and
`y` in the formula.

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

Then rearrange for
`y`:

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

This new equation of
`y` is the inverse function.

f⁻¹
`(x)` =
`3(x+2)`