Question

If the function $f:R-1,-1\to A$ defined by $f(x)=\frac{x^2}{1-x^2},$ is surjective, then $A$ is equal to

• A. $R-[-1,0)$
• B. $R-(-1,0)$
• C. $R--1$
• D. $[0,\infty$)

Answer 1

Answer: (A)

$y=\frac{x^2}{1-x^2}$
Range of y : $R-[-1,0)$
for surjective function, $A$ must be same as above range.