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Inverse Trigonometric Functions
NCERT Exemplar Class 12
CBSE
Grade 12

Question:

Find the domain of the function $f(x) = \cos^{-1}(x^2 - 1) + \sin^{-1}(1 - x)$.

Step-by-Step Solution

Domain 1: $x \in [-\sqrt{2}, \sqrt{2}]$. [1.0 Mark]
Domain 2: $x \in [0, 2]$. [1.0 Mark]
Intersection $= [0, \sqrt{2}]$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating domain of first term: 1.0 Mark
Evaluating domain of second term: 1.0 Mark
Evaluating intersection domain $[0, \sqrt{2}]$: 1.0 Mark

Correct Answer:
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