Question

Which of the following pairs of functions are inverses of each others​

Answer 1

(B).

Explanation:

(D). f(x) = 2x³ + 9

Solve equation y = 2x³ + 9 for "x"

2x³ = y - 9

x³ =
`(y-9)/(2)`

x =
`\sqrt[3]{(y-9)/(2) }`

Switch "x" and "y"

y =
`\sqrt[3]{(x-9)/(2) }` or g(x) =
`\sqrt[3]{(x-9)/(2) }`

(C). y =
`(x)/(4)` + 10

`(x)/(4)` = y - 10

x = 4y - 40

g(x) = 4x - 40

(B). y =
`(12)/(x)` - 18

`(12)/(x)` = y + 18

x =
`(12)/(y+18)`

g(x) =
`(12)/(x+18)`