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.
Problem 2: Find the domain of the real valued square root function f given below.
Problem 3: Find the domain of the real valued rational function f given below.
Problem 4: Find the domain of the real valued function f given below.
Problem 5: Find the domain of the real valued cube root function f given below.
Problem 6: Find the domain of the real valued logarithmic function f given below.
Problem 7: Find the domain of the real valued sine function f given below.
Problem 8: Find the domain of the real valued exponential function f given below.
Problem 9: Find the domain of the real valued arcsine function f given below.
Problem 10: Find the domain of the real valued rational function f given below.
More on
domain and range of basic functions.
