# Questions on Functions

A set of questions on functions and their properties are presented. Detailed solutions to the questions are provided.

 Quesion 1: f is a function defined by . Find f(0), f(2) and f(4). Quesion 2: Is y a function of x in the following equation -x 2 + y 2 - 2 = 0? Question 3: Find the domain of function f defined by f(x) = sqrt ( x 2 + 1 ) + 2 where sqrt is the square root. Question 4: f is a function defined by f(x) = |x - 1| + 3. Find f(-9). Question 5: f and g are functions defined by f(x) = 2x + 2 and g(x) = sqrt (x + 3). Find (f o g)(6). Question 6: Find all real values of x such that f(x) = 0 given that f is a function defined by f(x) = (x 2 + 2 x - 3) / (x - 1) Question 7: Find all real values of x such that f(x) = g(x) where f and g are functions given by f(x) = 3x + sqrt(x) and g(x) = 2x + 6 Question 8: is y as a function of x in the following equation? |y + 1| = x 2 + 2 Question 9: Find the domain of function f defined by f(x) = 1 / sqrt (|x - 1|) More math problems with detailed solutions in this site.