Answer
$\frac{f}{g}(x) = \dfrac{7x + 5}{x^2}$
$\text{Domain: all real numbers except $0$}$
Work Step by Step
This exercise asks us to divide one function by another. Let's write out the problem:
$\frac{f}{g}(x) =f(x) \div g(x) = \dfrac{7x + 5}{x^2}$
We cannot simplify this expression any further.
When we find the domain, we want to find which values of $x$ will cause the function to become undefined; in other words, we want to find any restrictions for $x$ so that we can exclude it from the domain.
In this exercise, $x$ can be any real number except for $0$ since $0$ will make the denominator $0$, which is not allowed.
