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}(2 x-3) ?

Solution:

\;\text " Explanation: Let, "\;\;f(x)=\cos ^{-1}(2 x-3)

∵ \;-1 ≤ 2 x-3 ≤ 1

⇒ 2 ≤ 2 x ≤ 4

⇒ 1 ≤ x ≤ 2

∴ x ∈[1,2] \;\text " or domain of "\; x \;\text " is "\;[1,2] .

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