Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the domain of the function f(x)= log e (4x 2 + 11x + 6) + sin -1 (4x + 3)+ cos -1 
is 
, then 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
Given that f(x)= log(4x 2 + 11x + 6) +sin -l (4x + 3) 
We know that the domain of A(x)+B(x)+C(x) is D(A) 
D(B) 
D(C).
Let us find the domain of log(4x 2 + 11x + 6).
We know that domain of log(f(x)) is f(x)> 0.
4x 2 + 11x + 6 > 0
4x 2 + 8x + 3x + 6 > 0
(4z + 3)(z + 2)> 0
Therefore, the required answer is 45.
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