Which equation is the inverse of (x-4)² - 2/3 = 6y-12 ?

Step-by-step explanation:

In order to find the inverse of above function, we solve it for x in term of y and make the replace x with y in the final answer.

Adding \frac{2}{3} on both hand sides we ger

Taking square root on both hand sides we get

Adding 4 on both sides we get

Replacing x with y and y with x we get

1. first point is x int., when y=0
x-4*0=-18, x=-18
(-18,0)
2. second point, y int, when x=0
0-4y=-18
-4y=-18
y=-18/-4=4.5
(0,4.5)
3. you can choose y=1, then x-4=-18, x=-14 , (-14,1)
or for this graph is
maybe better y=4, x-4*4=-18, x=-2  (-2,4)
x-4y=-18, y=3, x=-6 (-6,3)