Question

If $f\left(x\right)$ is a function which is both odd and even then $f\left(3\right)-f\left(2\right)$ is equal to

• A. $1$
• B. $-1$
• C. $0$
• D. none

Answer 1

Answer: (C)

$0$

Given $f(-x)=f\left(x\right)\forall x\in R$

Also $f(-x)=-f\left(x\right)\forall x\in R$

$\therefore f\left(x\right)=-f\left(x\right)\forall x\in R$

or $2f\left(x\right)=0\Rightarrow f\left(x\right)=0,\forall x\in R$

$\therefore f\left(3\right)-f\left(2\right)=0-0=0$