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STD 12 - 1. relation and function — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 1. relation and function4 Marks
MCQ
Domain of function $f(x) = {\sin ^{ - 1}}5x$ is
  • A
    $\left( { - \frac{1}{5},\;\frac{1}{5}} \right)$
  • ✓
    $\left[ { - \frac{1}{5},\;\frac{1}{5}} \right]$
  • C
    $R$
  • D
    $\left( {0,\;\frac{1}{5}} \right)$
✓

Answer

Correct option: B.
$\left[ { - \frac{1}{5},\;\frac{1}{5}} \right]$
b
(b) $ - 1 \le 5x \le 1\,\, \Rightarrow \,\,\frac{{ - 1}}{5} \le x \le \frac{1}{5}$.

Hence domain is $\left[ {\frac{{ - 1}}{5},\,\,\frac{1}{5}} \right]$.

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