Question

Inverse of the function y equals quantity x minus 2 divided by 3

Answer 1

`y = 3x + 2`

Explanation:

Given

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

Required

Determine its inverse

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

Swap the positions of x and y

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

Solve for y: Multiply both sides by 3

`3x = y - 2`

Add 2 to both sides

`3x + 2 = y`

`y = 3x + 2`

Hence;

The inverse function is:

`y = 3x + 2`