Q. 17 B5.0( 2 Votes )

Find the domain of each of the following functions given by


Answer :

Given:


To find: the domain of function


Explanation: So, the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain


Given,



Now for real value of f,


x + |x|>0


Now when x>0,


x + |x|>0 x + x>0 2x>0 x>0


Now when x<0,


x + |x|>0 x-x>0 2x>0 x>0


This is not possible.


So, x>0, to satisfy the given equation.


Hence the domain of f = R +


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