Decide whether the composite functions, f@g and g@f, are equal to x. f(x)=x^3+9 g(x)=root(3)(x-9)

waigaK

waigaK

Answered question

2020-10-27

Decide whether the composite functions, fg and gf, are equal to x.
f(x)=x3+9
g(x)=x93

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2020-10-28Added 118 answers

fg=f(g(x)) 
gf=g(f(x)) 
The composite functions are, 
fg=f(x93) =x93+9 =x9+9 =x 
gf=g(f(x)) =(x3+9)93 =x33 =x 
Both composite functions are equal to zero.

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