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inessss
8 days ago
6

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

Mathematics
2 answers:
Inessa [12.5K]8 days ago
7 0

Answer:

The correct choice is option B.

Step-by-step explanation:

The provided function is

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

We can rearrange the function to obtain

(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}}

Thus, the inverse function becomes y = 4 \pm \sqrt{6x - \frac{34}{3}}

Therefore, the accurate answer is option B. (Response)

PIT_PIT [12.4K]8 days ago
7 0

Answer:

EDGE 2020 IS B:)

Step-by-step explanation:

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