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1972 AMC 12 Question 29

AMC12 · 1972 AMC 12

Question 29

If $f(x)=\log\left(\dfrac{1+x}{1-x}\right)$ for $-1\lt x\lt1,$ then $f\left(\dfrac{3x+x^3}{1+3x^2}\right)$ in terms of $f(x)$ is:
  1. $-f(x)$
  2. $2f(x)$
  3. $3f(x)$
  4. $[f(x)]^2$
  5. $[f(x)]^3-f(x)$