Consider the three real-valued functions given below:

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the three real-valued functions given below: (i) Write the mathematical condition that must be satisfied by

x

so that

f(x)

is defined. Hence state the domain of

f

. Give a brief reason for your answer. (ii) Write the mathematical condition that must be satisfied by

x

so that

g(x)

is defined. Hence state the domain of

g

. Give a brief reason for your answer. (iii) Write the mathematical condition that must be satisfied by

x

so that

h(x)

is defined. Hence state the domain of

h

. Give a brief reason for your answer.