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The domain of the function f(x)=sqrt(x^2...

The domain of the function `f(x)=sqrt(x^2-[x]^2)` , where `[x]` is the greatest integer less than or equal to `x ,` is (a) `R` (b) `[0,oo]` (c) `(-oo,0)` (d) none of these

A

R

B

`[0,+oo)`

C

`(-oo,0]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`x^(2)-[x]^(2) ge 0 " or " x^(2) ge [x]^(2)`
This is true for all non-negative values of `x` and all negative integers `x`.
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