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SMO 2005 Senior Round 1 Question 8

SMO · SMO 2005 Senior Round 1

Question 8

In the Cartesian plane, the graph of the function $y=\frac{2x-1}{x-1}$ is reflected about the line $y=-x$. What is the equation for the graph of the image of the reflection?
  1. $y=\frac{x-1}{2x+1}$
  2. $y=\frac{x-1}{x+2}$
  3. $y=\frac{2x-1}{x+1}$
  4. $y=\frac{x+1}{2-x}$
  5. $y=\frac{-1-x}{2+x}$