# 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)