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JEE MATHEMATICS MCQ: FUNCTIONS

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Let

f(x)=x, g(x)=\frac{1}{x}

and

h(x)=f(x) \cdot g(x)

, then

h(x)=1

View answer and explanation

Correct option: D

\forall x \in R, x \neq 0

Option D (

\forall x \in R, x \neq 0

) is correct because

h(x) = f(x) \cdot g(x) = x \cdot \frac{{1}}{{x}} = 1

only when

x

is a real number not equal to 0, as

g(x)

is undefined at

x=0

.

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