Question

Which of the following is the inverse of y=3x

Answer 1

y/3=x or y divided by 3 is equals x. They are the same thing just but the equation in word form. 

Answer 2

`y=(1)/(3)x`

Explanation:

Given:
`y=3x`

We need to find the inverse of given function.

If
`y=f(x)` is a function then inverse [/tex] x=f^{-1}(x)[/tex]

Inverse function is symmetry about the line y=x

Step 1: switch x and y

`x=3y`

Step 2: solve for y

divide both sides by 3

`y=(1)/(3)x`

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

Hence, The inverse function is
`y=(1)/(3)x`