Confirm that f and g are inverses by showing that f(g(x))=x and g(f(x))=x f(x)=x^3+4 and g(x)=3(sqrt of x-4)

we are given

Calculation of f(g(x)):

replace x = g(x)

we can plug g(x)

Calculation of g(f(x)):

we are given

replace x =f(x)

we can replace f(x)

we get

we can see that

so, f(x) and g(x) are inverse of each other..........Answer

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step-by-step explanation: