What is the domain of the function \cos ^{-1}(2 x-3) ?

CBSE Class 12 Math 2022 Term I Solved Paper

Question : 23 of 50

Marks: +1, -0

What is the domain of the function cos−1(2x−3)?

Solution: 👈: Video Solution

‌ Explanation: Let, ‌‌f(x)=cos−1(2x−3)
∵‌−1≤2x−3≤1
⇒2≤2x≤4
⇒1≤x≤2
∴x∈[1,2]‌ or domain of ‌x‌ is ‌[1,2].

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