CUET Preparation Today
CUET
-- Mathematics - Section B1
Relations and Functions
The domain of the function $f(x)= sin^{-1} (2x-3) $ is :
[1, 2]
(1, 2)
[2, 3]
(2, 3)
The correct answer is Option (1) → [1, 2]
$\sin^{-1}(2x-3)=f(x)$
so $-1≤2x-3≤1$
$2≤2x≤4$
$1≤x≤2$
$x∈[1, 2]$
