Answer:
The answer is


Step-by-step explanation:
We must find a solution where

Consider the Left Side:
First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

Which equals

Add the fractions

Simplify the right side by multiplying the fraction

Set both fractions equal to each other

Since the denomiator are equal, we must set the numerator equal to each other





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
This is hard to solve when we don't know the visual graph this question is trying to refer from