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NDA 2024

Exam: NDA
Year: 2024
Subject: Mathematics
Chapter: Functions

NDA 2024 · Mathematics · Functions

Let A=\ x ∈ R:-1 x 1\ . Which of the following is/are bijective...

Let

\mathrm{A}=\{x \in \mathrm{R}:-1 \lt x \lt 1\}

. Which of the following is/are bijective functions from A to itself? 1.

f(x)=x|x|

2.

g(x)=\cos (\pi x)

Select the correct answer using the code given below: $Let A=\ x ∈ R:-1 x 1\ . Which of the following is/are bijective functions from A to itself? 1. f(x)=x|x| 2. g(x)= (π x)$

Options

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution

$Let A=\ x ∈ R:-1 x 1\ . Which of the following is/are bijective functions from A to itself? 1. f(x)=x|x| 2. g(x)= (π x)$

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