Question

Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)

Answer 1

2x-9 is the inverse of x+9/2

Explanation:

Answer 2

A)f(x)=2x-9 and g(x)=(x+9)/(2)

Explanation:

f(g(x)) =x for inverses

A)f(x)=2x-9 and g(x)=(x+9)/(2)

2(x+9)/2) -9 = Canceling the 2 x+9 -9 = x inverse

B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)

2/(x+6)/2 ) -6 =4/(x+6) - 6 This will not give me x

C)f(x)=(x)/(3)+4 and g(x)=3x-4

(3x+4)/3 -4 = x + 4/3 -4 This will not give me x

D)(x)=5+\root(3)(x) and g(x)=5-x^(3)

5 + cuberoot ( 5-x^3) This will not give me x back