What is the inverse equation of 3 (x-1) ^2+6?

Correct answer: y = √ (x - 6) / 3 + 1

Step-by-step explanation:

Given:

y = 3 (x - 1) ² + 6

I suppose you meant an inverse function and not an equation.

One way to get an inverse function is to solve it by x.

Let's do it

y = 3 (x - 1) ² + 6 ⇒ 3 (x - 1) ² = y - 6 ⇒ (x - 1) ² = (y - 6) / 3 ⇒

x - 1 = √ (y - 6) / 3 ⇒ x = √ (y - 6) / 3 + 1

x = √ (y - 6) / 3 + 1 Finally, we switch roles to x and y

y = √ (x - 6) / 3 + 1

God is with you!