We have the following functions: f (x) = x ^ 2 + 1 g (x) = 1 / x Multiplying we have: (f * g) (x) = (x ^ 2 + 1) * (1 / x) Rewriting: (f * g) (x) = ((x ^ 2 + 1) / x) Therefore, the domain of the function is given by all the values of x that do not make zero the denominator. We have then: All reals except number 0 Answer: b. all real numbers, except 0
