Let a function f : ( 0 , ∞ ) → ( 0 , ∞ ) be defined by f ( x ) = 1 − x 1 . Then f is :

f : ( 0 , ∞ ) → ( 0 , ∞ ) f ( x ) = 1 − x 1 is not a function ∵ f ( 1 ) = 0 and 1 ∈ domain but 0 ∈ / co-domain Hence, f ( x ) is not a function.

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MathematicsFunctionsTypes of Function (Mapping)Easy2 minPYQ_2019

MathematicsEasysingle choice

Let a function $f : (0, \infty) \to (0, \infty)$ be defined by $f (x) = 1 - \frac{1}{x} .$ Then $f$ is :

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Solution:

$f : (0, \infty) \to (0, \infty)$ $f (x) = 1 - \frac{1}{x}$ is not a function $∵ f (1) = 0$ and $1 \in$ domain but $0 \in /$ co-domain Hence, $f (x)$ is not a function.

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Types of Function (Mapping)

⏱ 2mℹ️ Source: PYQ_2019

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