Find the domain of sin^(-1) (x^2-4)
This question is similar to Question-19 CBSE Class-12 Sample Paper for 2023 Boards

CBSE Class 12 Sample Paper for 2024 Boards
CBSE Class 12 Sample Paper for 2024 Boards
Last updated at Feb. 10, 2025 by Teachoo
This question is similar to Question-19 CBSE Class-12 Sample Paper for 2023 Boards
We know that Domain of γπ ππγ^(β1) π ππ "[β1, 1]" Thus, we can write β1β€πβ€1 Putting ΞΈ = π₯^2β4 βπ β€π^πβπβ€π" " Adding 4 on both sides 1+4 β€π₯^2β4+4β€1" "+ 4 π β€π^πβ€"5" Taking square root both sides Β±βπ β€πβ€Β±βπ " " So, we can write ββπ<π β€ββπ and βπ<π β€βπ Thus, Domain ofγ sinγ^(β1) (π₯^2β4)ππ [ββπ, ββ(π )]βͺ[β(π ), βπ] " "