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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
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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....!!!!

 

 

cool cool cool

CPhill  May 8, 2017

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