Question

If $g(x)=1-x^2$ and $f(g(x))=\frac{1-x^2}{x^2}$ when $x\ne 0$, then $f(1/2)$ equals

• A. $3/4$
• B. 1
• C. 3
• D. $\sqrt{2}$

Answer 1

Answer: (B)

Since $g(x)=1/2$ is satisfied by $x=\sqrt{1/2}$
$f(1/2)=f(f(\sqrt{1/2}))=1$