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

y equals quantity x plus 6 divided b

Answer 2

B.
`y=(x+6)/(2)`

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:

`(2y)/(2)=(x+6)/(2)`

`y=(x+6)/(2)`

Therefore, the inverse of our given equation would be
`y=(x+6)/(2)` and option B is the correct choice.