Question

determine whether the statement below is true or false.
the domain of every rational function is the set of all real numbers.
choose the correct answer below
☐ false
☐ true

Explanation:

A rational function is defined as $\frac{p(x)}{q(x)}$ where $p(x)$ and $q(x)$ are polynomials, and $q(x)
eq 0$. The domain excludes any real numbers that make the denominator $q(x)$ equal to 0, so it cannot be all real numbers for every rational function. For example, $f(x)=\frac{1}{x}$ has a domain of all real numbers except $x=0$.

Answer:

False