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SMO 2013 Senior Round 1 Question 3

SMO · SMO 2013 Senior Round 1

Question 3

In the $xy$-plane, which of the following is the reflection of the graph of

$$y=\frac{1+x}{1+x^2}$$

about the line $y=2x$?
  1. $x=\frac{1+y}{1+y^2}$
  2. $x=\frac{-1+y}{1+y^2}$
  3. $x=-\frac{1+y}{1+y^2}$
  4. $x=\frac{1-y}{1+y^2}$
  5. None of the above