Question: Consider the functions f left parenthesis x right parenthesis equals x cubed minus 6 f(x)=x36 and g left parenthesis x right parenthesis equals RootIndex 3

Consider the functions f left parenthesis x right parenthesis equals x cubed minus 6

f(x)=x36 and g left parenthesis x right parenthesis equals RootIndex 3 StartRoot x plus 6 EndRoot .

g(x)=3

x+6.

(a) Find f(g(x)).

(b) Find g(f(x)).

(c) Determine whether the functions f and g are inverses of each other.

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