1.

Write the domain and the range of the function `f(x)=sqrt(x+[x])`.

Answer» Correct Answer - dom (f)=R, range `(f)=[0,1)`
`x-[x]=0" for "x"inZandx-[x]gt0" for "x""inR-Z`.
`:.x-{x}ge0" for "x""inR."So, dom "(f)=R`
Also, `0lex-[x]lt1implies0lesqrt(x-[x])lt1."So, range "(f)=[0,1)`.


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