A function imposes certain limitations by virtue of definition itself. We have seen such restriction with respect to radical functions in which polynomial inside square root needs to be non-negative. We have also seen that denominator of a rational function should not be zero. We shall learn about different functions in subsequent modules. Here, we consider few examples for illustration :

1 :

Here, logrithmic function is defined for

2 :

Here, arcsine function is defined in the domain [-1,1]. Hence,

It is clear that we need to have clear understanding of algebraic inequalities as function definitions are defined with certain condition(s).