Which function is the inverse of y=2/3x-6

y = 3 (x + 6) / 2

Step-by-step explanation:

I'm assuming that you meant y = (2/3) x - 6.

If that's correct, start by interchanging x and y, obtaining:

x = (2/3) y - 6

Next, solve for y: (2/3) y = x + 6. Multiplying both sides of this equation by (3/2) isolates y, as desired, and results in:

y = 3 (x + 6) / 2. This is the inverse of y = (2/3) x - 6.

Answer: y=3/2x+9