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

Question

asked Mar 26, 2022 63.7k views

1 Answer

Nick Cardoso · Answer 1 · 2022-03-30T13:23:23+0000

Answer:

(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)