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Question

The domain of f(x)=sin1xx is

A
[1,1]
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B
{0}
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C
[1,0)
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D
None of these
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Solution

The correct option is D None of these
f(x)=sin1xx=g(x)t(x),t(x)0
t(x)0
x0
Domain of t(x) is R{0}
Again domain of g(x) is [1,1]
Now using concept domain of f(x)=g(x)t(x)
domain of f(x)= Domain of g(x) - set of those points for which t(x)=0 if g(x), t(x) is defined xϵR

Domain of f(x)=[1,1]{0}

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