The value of f(1) for f\Bigg(1-x/1+x\Bigg)=x+2 is

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Question Id : 11651 | Context :NIMCET 2024

The value of

$f(1)$ for

$f\Bigg{(}\frac{1-x}{1+x}\Bigg{)}=x+2$ is

🎥 Video solution / Text Solution of this question is given below:

Given:
$f\left(\frac{1 - x}{1 + x}\right) = x + 2$

To Find: $f(1)$

Let $\frac{1 - x}{1 + x} = 1 \Rightarrow x = 0$

Then, $f(1) = f\left(\frac{1 - 0}{1 + 0}\right) = 0 + 2 = 2$

Answer: $\boxed{2}$

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