Questions on Functions

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

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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

-x² + y² - 2 = 0?

Question 3: Find the domain of function f defined by

f(x) = sqrt ( x² + 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) = (x² + 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| = x² + 2

Question 9: Find the domain of function f defined by

f(x) = 1 / sqrt (|x - 1|)

Updated: 27 November 2007 (A Dendane)