JEE MATHEMATICS MCQ: FUNCTIONS

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Let

f\left( x \right) = x,g\left( x \right) = 1/x\;and\;h\left( x \right) = f\left( x \right)g\left( x \right).

Then,

h\left( x \right) = 1,

View answer and explanation

Correct option: B

x

is a non-zero real number

Option B (

x

is a non-zero real number) is correct because

h(x) = f(x)g(x) = x * (1/x) = 1

is only true when

x

is a non-zero real number, as division by zero is undefined.

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