Question

Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.

Answer 1

Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.


`y = 6x - 3 \\ x = 6y - 3`

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.

`x = 6y - 3`

Add 3.

`x + 3 = 6y`

Switch sides.

`6y = x + 3`

Divide both sides by 6.

`y = (1)/(6) x+ (3)/(6) \\ y = (1)/(6) x + (1)/(2)`

Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!