Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?

y = one-sixth x squared minus four-thirds x + StartFraction 43 Over 9 EndFraction

y = 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot

y = negative 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot

negative (x minus 4) squared minus two-thirds = negative 6 y + 12

The correct option is option B.

Step-by-step explanation:

The given function is

We can rearrange the function as

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒

⇒

⇒

Therefore, the inverse function will be,

Therefore, the correct option is option B. (Answer)

The inverse of the equation is

The equation is given as:

To determine the inverse, we start by swapping the positions of x and y

Add 2/3 to both sides

This gives

Take the square root of both sides

Add 4 to both sides

Hence, the inverse of the equation is

Read more about inverse equations at:

link

b.an increase in a causes b to decrease

step-by-step explanation: