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

function in question 1.
Find f(0), f(2) and f(4).

Detailed Solution.

Quesion 2: Is y a function of x in the following equation

-x 2 + y 2 - 2 = 0?


Detailed Solution.

Question 3: Find the domain of function f defined by

f(x) = sqrt ( x 2 + 1 ) + 2


where sqrt is the square root.

Detailed Solution.

Question 4: f is a function defined by

f(x) = |x - 1| + 3.


Find f(-9).

Detailed Solution.

Question 5: f and g are functions defined by

f(x) = 2x + 2 and g(x) = sqrt (x + 3).


Find (f o g)(6).

Detailed Solution.

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)


Detailed Solution.

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

Detailed Solution.

Question 8:
is y as a function of x in the following equation?

|y + 1| = x 2 + 2

Detailed Solution.

Question 9: Find the domain of function f defined by

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

Detailed Solution.

More math problems with detailed solutions in this site.