Question

What is the inverse of y=2x-11

Answer 1

`y=(x+11)/(2)`

Explanation:

To find the inverse of a function, take your equation and switch the "x" and "y" variables. Then, isolate "y".

Take your equation

y = 2x - 11

Switch "x" and "y" variabales

x = 2y - 11

Isolate "y", meaning to move it to the left, and everything else to the right. When moving a number, do its reverse operation to both sides of the equation.

x = 2y - 11 Move "-11" first. It's reverse is +11

x + 11 = 2y - 11 + 11 Do the reverse to both sides

x + 11 = 2y The reverses cancel out

In "2y", 2 is multiplying with y. The reverse of multiplying is dividing.

`(x+11)/(2)=(2y)/(2)` Divide both sides by 2

`(x+11)/(2)=y` Move "y" to the left for standard formatting

`y=(x+11)/(2)` Inverse of y = 2x - 11