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1983 AMC 12 Question 8

AMC12 · 1983 AMC 12

Question 8

Let $f(x)=\frac{x+1}{x-1}.$ Then for $x^2\ne1,$ $f(-x)$ is
  1. $\frac1{f(x)}$
  2. $-f(x)$
  3. $\frac1{f(-x)}$
  4. $-f(-x)$
  5. $f(x)$