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STD 11- 2. Relation and Function — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11- 2. Relation and Function4 Marks
MCQ
Let $f(x)=\frac{1}{7-\sin 5 x}$ be a function defined on $R$. Then the range of the function $f(x)$ is equal to:
  • A
    $\left[\frac{1}{8}, \frac{1}{5}\right]$
  • B
    $\left[\frac{1}{7}, \frac{1}{6}\right]$
  • C
    $\left[\frac{1}{7}, \frac{1}{5}\right]$
  • ✓
     $\left[\frac{1}{8}, \frac{1}{6}\right]$
✓

Answer

Correct option: D.
 $\left[\frac{1}{8}, \frac{1}{6}\right]$
d
$ \sin 5 x \in[-1,1] $

$ -\sin 5 x \in[-1,1] $

$ 7-\sin 5 x \in[6,8] $

$ \frac{1}{7-\sin 5 x} \in\left[\frac{1}{8}, \frac{1}{6}\right]$

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