Question

Find the domain and range of
f(x)=1/√x-[x]

Answer 1

Answer:

Step-by-step explanation:

Y= 1/√|x|-x

For the term inside the root to be positive it is required that √|x|- x is greater than or equal to zero. That is,

|x| - x >= 0

But here the term can't be zero as it is in the denominator. So,

|x| - x > 0

So |x| >x

This is possible only if x is a negative number. Therefore the domain of x will be the set of negative real numbers, i.e. (-infinity, 0).

Hope this will clear your doubt.