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).
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.

