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

Mathematics

2 answers:

mario62 [17]2 years ago

7 0

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

$(x - 4)^{2} - \frac{2}{3} = 6y - 12$

We can rearrange the function as

$(x - 4)^{2} - \frac{2}{3} = 6y - 12$

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ $(x - 4)^{2} = 6y - \frac{34}{3}$

⇒ $x - 4 = \pm \sqrt{6y - \frac{34}{3}}$

⇒ $x = 4 \pm \sqrt{6y - \frac{34}{3}}$

Therefore, the inverse function will be, $y = 4 \pm \sqrt{6x - \frac{34}{3}}$

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

stepan [7]2 years ago

7 0

Answer:

EDGE 2020 IS B :)

Step-by-step explanation:

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