Show that `f(x)=(1)/sqrt(x-|x|)` is not defined for any `x""inR`. How will you define dom (f) and range (f)?

Explanation

We have, `f(x)=(1)/sqrt(x-|x|)`
Now, `implies|x|={{:(x",when "xge0),(-x",when "xlt0):}`
`impliesx-|x|={{:(x-x",when "xge0),(x+x",when "xlt0):}`
`impliesx-|x|={{:(0",when "xge0),(2x",when "xlt0):}`
`implies(1)/(sqrt(x-|x|))` is not defined for any `x""inR`.
`:."dom "(f)=phi" and range "(f)=phi`.