If the domain of the function f(x)=([x]/1+x2), where [x] is greatest integer ≤ x, is [2,6), then its range is

Question

If the domain of the function f(x)=([x]/1+x2), where [x] is greatest integer ≤ x, is [2,6), then its range is (A) ((5/37), (2/5)] (B) ((5/26), (2/5)]- (9/29), (27/109), (18/89), (9/53)  (C) ((5/26), (2/5)] (D) ((5/37), (2/5)]- (9/29), (27/109), (18/89), (9/53)

Tardigrade Admin · Accepted Answer

Correct answer is (c) ((5/26), (2/5)]

Q. If the domain of the function $f (x) = \frac{[ x ]}{1 + x ^{2}}$ , where $[x]$ is greatest integer $\leq x$ , is $[2, 6)$ , then its range is

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

$(\frac{5}{26}, \frac{2}{5}] - {\frac{9}{29}, \frac{27}{109}, \frac{18}{89}, \frac{9}{53}}$

$(\frac{5}{26}, \frac{2}{5}]$

$(\frac{5}{37}, \frac{2}{5}] - {\frac{9}{29}, \frac{27}{109}, \frac{18}{89}, \frac{9}{53}}$

Correct answer is (c) $(\frac{5}{26}, \frac{2}{5}]$

Q. If the domain of the function f(x)=1+x2[x]​, where [x] is greatest integer ≤x, is [2,6), then its range is

(375​,52​]

(265​,52​]−{299​,10927​,8918​,539​}

(265​,52​]

(375​,52​]−{299​,10927​,8918​,539​}