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JEE MATHEMATICS MCQ: FUNCTIONS

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Let f(x)=x,g(x)=1xf(x)=x, g(x)=\frac{1}{x} and h(x)=f(x)g(x)h(x)=f(x) g(x). Then, h(x)=1h(x)=1 if and only if
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Correct option: D
xx is a non-zero real number
Option D is correct because the function is only equal to 1 when x is a non-zero real number, as g(x) is undefined at x=0.

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