Question

Question 10 of 25
Which pair of functions are inverses of each other?

Answer 1

`f(x) = \sqrt[3]{11x} \\ y = \sqrt[3]{11x} \\ x = \sqrt[3]{11y} \\ x {}^(3) = 11y \\ y = \frac{x {}^(3) }{11}`

Option A eliminated

`f(x) = (x)/(7) + 10 \\ y = (x)/(7) + 10 \\ x = (y)/(7) + 10 \\ x - 10 = (y)/(7) \\ y = (x - 10)/(7)`

Option B eliminated

`f(x) = (7)/(x) - 2 \\ y = (7)/(x) - 2 \\ x = (7)/(y) + 2 \\ x - 2 = (7)/(y) \\ y = (7)/(x - 2)`

Option C eliminated

By elimination it's D

Confirmation:

`f(x) = 9x - 6 \\ y = 9x - 6 \\ x = 9y - 6 \\ x + 6 = 9y \\ y = (x + 6)/(9) = g(x)`