Question

Which of the following expressions is the inverse of the function y = 2x − 6? y equals quantity x minus 6 divided by 2 y equals quantity x plus 6 divided by 2 y = 2x + 6 y = �2x + 6

Answer 1

Answer:

B. $y=\frac{x+6}{2}$

Step-by-step explanation:

We have been given an equation $y=2x-6$. We are asked to find the inverse of our given equation.

To find inverse of our given equation, we will interchange x and y variables and solve for y as shown below:

$x=2y-6$

Switch sides:

$2y-6=x$

Add 6 on both sides:

$2y-6+6=x+6$

$2y=x+6$

Divide both sides by 2:

$\frac{2y}{2}=\frac{x+6}{2}$

$y=\frac{x+6}{2}$

Therefore, the inverse of our given equation would be $y=\frac{x+6}{2}$ and option B is the correct choice.

Answer 2

Y equals quantity x plus 6 divided b