Question

What is the inverse of the function below? f (x) = 3x A. B. C. D.

Answer 1

Inverse function:
`f^(-1)(x)=(x)/(3)`

Explanation:

The inverse of a functon
`y=f(x)` is the function
`g` such that
`g(y)=x`.

In this problem, the function that we have to reverse is

`y=f(x)=3x`

In order to reverse the function, we do it in this way:

1) First, we isolate x and we write it as a function of y. Therefore:

`x=(y)/(3)`

2) Then, we exchange the names of the variables, so:

`y=(x)/(3)`

Therefore, the inverse function is

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