Answer:
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!!!
