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**1. Homework Statement**

f: R -> R defined by f(x) = x^3 + 1

a) determine if it is one to one

b)find its inverse

c) calculate (f o f)

**2. Homework Equations**

if f(x) is one to one, if a = b, f(a) = f(b)

**3. The Attempt at a Solution**

a) yes it is because a^3 + 1 can't equal to b^3 + 1 unless a = b, by definition, this function is onto

b)the inverse is f^-1 (x) = (x - 1)^(1/3)

c) f o f = f(f(x) = f(x^3 + 1) = (x^3 + 1)^3 + 1

just want to make sure i got this, thanks :)