The domain of the function defined by f(x) = - 1 is

0 x - 1 1 and - 1 1] 1 x 2 therefore, x

class 12 maths inverse trigonometric functions

The domain of the function defined by $f(x) = {\sin ^{ - 1}}\sqrt {x - 1}$ is

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📘 Inverse Trigonometric Functions NCERT,Ex.2.3,Q.25,Page.38 MCQ 1 mark

The domain of the function defined by $f(x) = {\sin ^{ - 1}}\sqrt {x - 1}$ is

VVidaara Team ✓ Verified solution NCERT & Exemplar

$\Rightarrow$ $0 \le x - 1 \le 1$
and $- 1 \le \sqrt {x - 1} \le 1]$
$\Rightarrow$ $1 \le x \le 2$

$therefore, x \in [1,2]$

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