Question

Find the domain of the function (ƒ • g)(x) where ƒ(x) = 4x3 + 1, g(x) = 2 – 4x2.

Answer 1

The domain of this function is x = all real numbers.

The two things that typically limit a domain are dividing by zero and taking the square root of a negative. Since neither of these functions or their composite have a square root or a denominator, then you must be able to use all real numbers.