JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Analyzing +4 | -1

Let

f(x)=\sin ^{-1}(\sin x)

and

g(x)=\cos ^{-1}[x+1]+\sin ^{-1}[x]

. Then the number of solution of

f(x)+g(x)=4

, lies in the interval

(where

\left[{ }^*\right]

denotes the greatest integer function)

View answer and explanation

Correct option: C

(-2,1)

Option C,

(-2,1)

, is correct because the domain of g(x) is [-1, 1) and within this domain, g(x) = 0, leading to no solution for f(x) + g(x) = 4.

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