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Let f: R → R be defined by f(x) = 1x ∀ x ∈ R. Then f is ______. - Mathematics

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Question

Let f: R → R be defined by f(x) = `1/x` ∀ x ∈ R. Then f is ______.

Options

  • One-one

  • Onto

  • Bijective

  • F is not defined

MCQ
Fill in the Blanks

Solution

Let f: R → R be defined by f(x) = `1/x` ∀ x ∈ R. Then f is f is not defined.

Explanation:

We have, f(x) = `1/x` ∀ x ∈ R

For x = 0, f(x) is not defined.

Hence, f(x) is a not define function.

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Chapter 1: Relations And Functions - Exercise [Page 15]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 1 Relations And Functions
Exercise | Q 37 | Page 15

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