Test Index

CBSE Class 12 Math 2022 Term I Solved Paper

© examsnet.com
Question : 23 of 50
Marks: +1, -0
What is the domain of the function cos⁡−1(2x−3)?\cos^{-1}(2x-3)?
Solution:     👈: Video Solution
   Explanation: Let,     f(x)=cos⁡−1(2x−3)\; \text{ Explanation: Let, } \;\; f(x)=\cos^{-1}(2x-3)
∵−1≤2x−3≤1\because -1 \le 2x-3 \le 1
⇒2≤2x≤4\Rightarrow 2 \le 2x \le 4
⇒1≤x≤2\Rightarrow 1 \le x \le 2
∴x∈[1,2]   or domain of   x   is   [1,2].\therefore x \in [1,2] \; \text{ or domain of } \; x \; \text{ is } \; [1,2].
© examsnet.com
Go to Question:
Prev Question
Next Question