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1974 AMC 12 Question 12

AMC12 · 1974 AMC 12

Question 12

If $g(x)=1-x^2$ and $f(g(x))=\frac{1-x^2}{x^2}$ when $x\ne0,$ then $f(\frac{1}{2})$ equals
  1. $\frac{3}{4}$
  2. $1$
  3. $3$
  4. $\frac{\sqrt2}{2}$
  5. $\sqrt2$