If the domain of the function f(x)=[x]1+x2, where [x]is greatest integer ≤x, is [2,3), then its range is

f(x)=[x]1+x2 domain of f=[2,3)x∈[2,3)f(x)=21+x2 f(x)∈15,25

If the domain of the function f(x)=[x]1+x2, where [x]is greatest integer ≤x, is [2,3), then its range is

f(x)=[x]1+x2 domain of f=[2,3)x∈[2,3)f(x)=21+x2 f(x)∈15,25

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If the domain of the function $f (x) = \frac{[x]}{1 + x^{2}}, where [x]$ is greatest integer $\leq x, is [2, 3)$ , then its range is

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$(\frac{5}{37}, \frac{2}{5}]$

$(\frac{1}{5}, \frac{2}{5}]$

$\{2\}$

$[\frac{1}{5}, \frac{2}{5}]$

answer is A.

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$f (x) = \frac{[x]}{1 + x^{2}} domain of f = [2, 3)$
$x \in [2, 3) f (x) = \frac{2}{1 + x^{2}} f (x) \in (\frac{1}{5}, \frac{2}{5}]$

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If the domain of the function f(x)=[x]1+x2, where [x]is greatest integer ≤x, is [2,3), then its range is

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If the domain of the function $f (x) = \frac{[x]}{1 + x^{2}}, where [x]$ is greatest integer $\leq x, is [2, 3)$ , then its range is