jee-main 2019 Q61

jee-main · India · session1_11jan_shift1 Composite & Inverse Functions Determine Domain or Range of a Composite Function

Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be defined by $f(x) = \frac{x}{1+x^2}$, $x \in \mathbb{R}$. Then the range of $f$ is:
(1) $\mathbb{R} - [-1, 1]$
(2) $(-1, 1) - \{0\}$
(3) $\left[-\frac{1}{2}, \frac{1}{2}\right]$
(4) $\left(-\frac{1}{2}, \frac{1}{2}\right)$

Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be defined by $f(x) = \frac{x}{1+x^2}$, $x \in \mathbb{R}$. Then the range of $f$ is:\\
(1) $\mathbb{R} - [-1, 1]$\\
(2) $(-1, 1) - \{0\}$\\
(3) $\left[-\frac{1}{2}, \frac{1}{2}\right]$\\
(4) $\left(-\frac{1}{2}, \frac{1}{2}\right)$

Paper Questions

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