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) = √(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) = √(-x + 1) / (x + 3)

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

f(x) = ³√(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) = 2 sin(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 on domain and range of basic functions.
Math Problems, Questions and Online Self Tests.
Step by Step Calculator to Find Domain of a Function