Question

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

Answer 1

Answer:

Inverse function: $f^{-1}(x)=\frac{x}{3}$

Step-by-step 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:

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

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

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

Therefore, the inverse function is

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