First slide

Functions (XII)

Question

The domain of f(x)=sin^-1 5x is

Moderate

A

$(\frac{- 1}{5}, \frac{1}{5})$
B

$[\frac{- 1}{5}, \frac{1}{5}]$
C

R
D

(0, $\frac{1}{5}$ )

Solution

Given f(x)=sin^-15x
we know that, domain of sin ^-1x is is [-1,1]
$∴$ $- 1 \leq 5 x \leq 1$ $\Rightarrow \frac{- 1}{5} \leq x \leq \frac{1}{5}$
$∴$ x $\in [\frac{- 1}{5}, \frac{1}{5}]$

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