f(x) = 27x^3 ; g(x) = (1/3)+sqrt3(x)

Use composition of functions to determine whether ƒ(x) and g(x) are inverses. Are f and g inverses?

Guest May 8, 2017

#1**+2 **

I think you have written this :

f (x) = 27x^3 g(x) = 1/3 + ∛x

These are not inverses

However.....I think you may mean this :

f(x) = 27x^3 g(x) = (1/3)∛x

To see if they are inverses....put f into g and then g into f.....if both results = x...we have inverses

f into g = (1/3)∛ (27x^3) = (1/3) (3 x) = x

g into f = 27 [ (1/3)∛x ] ^3 = 27 (1/27) *x = x

Since we get x in each instance, f and g are inverses....!!!!

CPhill
May 8, 2017