Let D be the domain of the function f(x) = ^ -1 ( _ 3x ( 6+2 _3x -5x ) ) If the range of the function g : D defined by g(x) = x – [x], ([x] is the greatest integer function), is ( , ), then ^2+ 5 is equal to

JEE Main 2023 Mathematics question

Let D be the domain of the function f(x) = If the range of the function g : DR defined by g(x) = x – [x], ([x] is the greatest integer function), is (, ), then is equal to

(A)135Correct
(B)45
(C)46
(D)136

Answer: (A)

Solution

TOPIC NOT IN SYLLABUS: the source's own derivation establishes the domain condition but the working visibly stops there

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Question ID VK-036157