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Question

Let f(x)=[x]cos(π[x+2]) where, [ ] denotes the greatest integer function. Then, the domain of f is

A
xR,x not an integer
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B
(,2)[1,)
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C
xR,x2
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D
(,1]
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Solution

The correct option is B (,2)[1,)
f(x)=[x]cos(π|x+2|)
Domain of cos is R.
|x+2|0x=2(i)[x]xϵR(2,1)(ii)from(i)&(ii)xϵ(,2)[1,)

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