Question

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

Answer 1

Answer:

$y = 3x + 2$

Step-by-step explanation:

Given

$y = \frac{x - 2}{3}$

Required

Determine its inverse

$y = \frac{x - 2}{3}$

Swap the positions of x and y

$x = \frac{y - 2}{3}$

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:

$y = 3x + 2$