Question

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

Answer 1

Answer:

(B).

Step-by-step explanation:

(D). f(x) = 2x³ + 9

Solve equation y = 2x³ + 9 for "x"

2x³ = y - 9

x³ = $\frac{y-9}{2}$

x = $\sqrt[3]{\frac{y-9}{2} }$

Switch "x" and "y"

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

(C). y = $\frac{x}{4}$ + 10

$\frac{x}{4}$ = y - 10

x = 4y - 40

g(x) = 4x - 40

(B). y = $\frac{12}{x}$ - 18

$\frac{12}{x}$ = y + 18

x = $\frac{12}{y+18}$

g(x) = $\frac{12}{x+18}$