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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Functions

NDA 2012 · Mathematics · Functions

Consider the following statements: 1. If f(x)=x^3 and g(y)=y^3 then...

Consider the following statements: 1. If f(x)=x3f(x)=x^3 and g(y)=y3g(y)=y^3 then f=gf=g. 2. Identity function is not always a bijection. Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution

f(x)=x3g(y)=y3\begin{aligned} & f(x)=x^3 \\ & g(y)=y^3\end{aligned}f and gareidenticalfunctions⇒f=gf(x)=xare identical functions \Rightarrow \quad f=gf(x)=x is an identity function and identity function is always one-one-onto.
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