Domain of Combinations of Functions - Virtual Math Learning Center

Instructions

This page includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.

Concepts

Finding the domain of functions with combinations of denominators, even roots, and/or logarithms

Exercises

Directions: You should attempt to solve the problems first and then watch the video to see the solution.

Find the domain of the following function $f (x) = \frac{x}{x - 5} + \sqrt{x - 1} + \log_{5} (x + 6) .$

Reveal Answer

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Find the domain of the function $f (x) = \frac{\ln (x)}{x^{2} - x - 6} .$

Reveal Answer

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Find the domain of the function $f (x) = \frac{x^{3} - 9 x}{\sqrt{3 x + 3}} .$

Reveal Answer

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Find the domain of the function $f (x) = \frac{\sqrt[4]{x + 4}}{\log_{7} (5 - 3 x)}$

Reveal Answer

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Next Section

If you are working through the Algebra Series in order, then you have finished the sections on Domain. Next you should try the Domain Quiz to test how well you learned the material.

Domain Quiz

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