This page contains 20 practice questions on finding the domain of functions. The problems include polynomial, rational, square root, logarithmic, exponential, and absolute value functions. Complete answers are provided at the end of the page.
For interactive practice, visit: Finding the Domain of Functions
Find the domain of
\[ f(x) = 2x + 7 \]Find the domain of
\[ g(x) = \frac{1}{-x + 8} \]Find the domain of
\[ h(x) = \frac{x - 6}{2x - 8} \]Find the domain of
\[ f(x) = \frac{5}{\sqrt{-x + 4}} \]Find the domain of
\[ h(x) = \frac{\sqrt{-x + 5}}{\sqrt{x - 3}} \]Find the domain of
\[ f(x) = \sqrt{|x| - 5} \]Find the domain of
\[ f(x) = \sqrt{|3x - 8| - 5} \]Find the domain of
\[ f(x) = \frac{3x - 6}{x^2 + 2x - 8} \]Find the domain of
\[ h(x) = \frac{3x - 6}{\sqrt{x^2 + 2x - 8}} \]Find the domain of
\[ g(x) = |2x - 4| \]Find the domain of
\[ h(x) = \ln(|2x - 9|) \]Find the domain of
\[ g(x) = \frac{1}{x^2 + 6} \]Find the domain of
\[ g(x) = \frac{1}{\sqrt{x^2 + 2x + 6}} \]Find the domain of
\[ h(x) = \frac{1}{\sqrt{| -x^2 - 9 |}} \]Find the domain of the function defined by the set of ordered pairs:
\[ g = \{(3,2),(5,9),(6,9),(11,0)\} \]Find the domain of
\[ g(x) = \frac{1}{2 - \sqrt{x + 2}} \]Find the domain of
\[ f(x) = e^{\ln(x)} \]Find the domain of
\[ f(x) = \frac{1}{\log(2x - 3)} \]Find the domain of
\[ g(x) = \ln(2x - 8) \]Find the domain of
\[ g(x) = \log(x^2 + 3x - 10) \]