Maths Olympiad Prep

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Problem 650

AMC 10/12, early questions
Algebra Difficulty 3.0 Find the answer UKMT Senior Mathematical Challenge · United Kingdom · 2018

The graph of y=1xy=\frac{1}{x} is reflected in the line y=1y=1. The resulting image is reflected in the line y=−xy=-x. What is the equation of the final graph?

(A) y=−1x+2y=\frac{-1}{x+2} (B) y=1x−1y=\frac{1}{x-1} (C) y=1x−2y=\frac{1}{x-2} (D) y=−1x−1y=\frac{-1}{x-1} (E) y=−1x−2y=\frac{-1}{x-2}

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