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 2020-10-27 Answered
Decide whether the composite functions, fg and gf, are equal to x.
f(x)=x3+9
g(x)=x93
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Expert Answer

BleabyinfibiaG
Answered 2020-10-28 Author has 118 answers
To find the composite function we need to plug-in function in place of the variable. Mathematically,
fg=f(g(x))
gf=g(f(x))
Therefore, the composite functions are,
fg=f(x93)
=x93+9
=x9+9
=x
gf=g(f(x))
=(x3+9)93
=x33
=x
Hence, both composite functions are equal to zero.
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