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

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

Inverse Trigonometric Functions — Class 12 Maths Solution

exemplar objective MCQ NCERT,Ex.2.3,Q.25,Page.38

Question

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

Step-by-step Solution

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

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

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Inverse Trigonometric Functions. Curated by Sachin Sharma. Free for all students.