math

f(x) = x^3 and g(x) = 3x-7

If the inverses of two functions are both functions, will the inverse of the composite function made by the original functions also be a function?

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  1. yes.
    (f◦g)(x) = f(g) = g^3 = (3x+7)^3
    so,
    (f◦g)^-1 (x) = (∛x - 7)/3

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