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.