The value of \(f(1)\) for \(f(\frac{1-x}{1+x}) = x+2\) is:
Step-by-step Solution:
We are given the functional equation: \[ f\left(\frac{1 - x}{1 + x}\right) = x + 2. \] To find the value of \( f(1) \), we substitute \( x = 0 \) into the equation: \[ f\left(\frac{1 - 0}{1 + 0}\right) = 0 + 2. \] Simplifying: \[ f(1) = 2. \]