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)

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

Step-by-step 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

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

where's the diagram?

step-by-step explanation: