Domain of function f(x) = ^ - 1 5x is - Vidyadip

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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