# 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 Your browser is completely ignoring the tag! 1 - click on the button above "click here to start" and MAXIMIZE the window obtained. 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.