Question

If $f\left(\frac{x+1}{2x-1}\right)=2x,x\in N$, then the value of $f\left(2\right)$ is equal to

• A. $1$
• B. $4$
• C. $3$
• D. $2$
• E. $5$

Answer 1

Answer: (D)

$2$

We have
$f\left(\frac{x+1}{2x-1}\right)=2x,x\in N$
Put $x=1$, then
$f\left(\frac{x+1}{2x-1}\right)=2x$
$f\left[\frac{1+1}{2\left(1\right)-1}\right]=2\times 1$
$\Rightarrow f\left(\frac{2}{1}\right)=2\Rightarrow f\left(2\right)=2$