Question

Which equation is the inverse of (x-4)^2-2/3=6y-12

Answer 1

Thank you for asking this question. Here is your answer:

6y - 12 = (x-4)² - 2/3

6y - 12 = x² - 8x + 46/3

6y = x² - 8x + 82/3

Now we will divide each term by 6.

y = x²/6 - 4x/3 + 41/9

x = y²/6 - 4y/3 + 41/9

now we will solve this for y.

12 + √6(-17+9x)/3 , 12- √6(-17+9x)/3

f^-1(x)

f^-1(x) = 12+√6(-17+9x)/3 , 12 -√6(-17+9x)/3