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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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.
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Updated: 2 April 2013

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