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.

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step-by-step explanation: