Find the Domain of a Function - Problems

A set of 10 problems, on finding the domain of a function, with detailed solutions are presented. There are also more problems using the applet below.






You may want to work through a tutorial on finding the domain of a function Domain and range of functions.

Problem 1: Find the domain of the real valued linear function f given below.

f(x) = x + 1

Problem 2: Find the domain of the real valued square root function f given below.

f(x) = sqrt(2x)

Problem 3: Find the domain of the real valued rational function f given below.

f(x) = (x - 1) / (x - 3)

Problem 4: Find the domain of the real valued function f given below.

f(x) = sqrt(-x + 1) / (x + 3)

Problem 5: Find the domain of the real valued cube root function f given below.

f(x) = cube root(2x + 1)

Problem 6: Find the domain of the real valued logarithmic function f given below.

f(x) = ln(x2 - 9)

Problem 7: Find the domain of the real valued sine function f given below.

f(x) = 2sin(x - 1)

Problem 8: Find the domain of the real valued exponential function f given below.

f(x) = e(x - 4)

Problem 9: Find the domain of the real valued arcsine function f given below.

f(x) = arcsin(x2 - 1)

Problem 10: Find the domain of the real valued rational function f given below.

f(x) = 1 / (x3 + x2 -2x)

More Problems - Applet

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2 - click start on the main menu.

3 - answer the question by checking a,b,c,d or e in the lower part of the window.

You can review your answers and change them by checking the desired letter. Once you have finished, press "finish" and you get a table with your answers and the right answers to compare with.

More on domain and range of basic functions.

Math Problems, Questions and Online Self Tests.

Step by Step Calculator to Find Domain of a Function


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Updated: 2 April 2013

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