Question

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

• A. 1
• B. 4
• C. 3
• D. 2
• E. 5

Answer 1

Answer: (D)

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