Question

The function $y=\frac{x}{1+x^2}$ has its domain as

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

Answer 1

Answer: (A)

$x\in R$

The function $y=\frac{x}{1+x^2}$

is defined only when

$1+x^2\ne 0$

$x^2\ne -1$

$⟹x\in R$