Let f : R R be defined as f ( x ) = x 2 - x + 4 x 2 + x + 4 . Then the range of the function f ( x ) is

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Solution

Q.
Let $f : R \to R$ be defined as $f (x) = \frac{x^{2} - x + 4}{x^{2} + x + 4}$ . Then the range of the function $f (x)$ is

1 $[\frac{3}{5}, \frac{5}{3}]$

2 $(\frac{3}{5}, \frac{5}{3})$

3 $(- \infty, \frac{3}{5}) \cup (\frac{5}{3}, \infty)$

4 $[- \frac{5}{3}, - \frac{3}{5}]$

Ans.
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