JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

f: R \rightarrow R

defined by

f(x)=3 x+2 a \cos x-5

is invertible, then '

a

' belongs to

View answer and explanation

Correct option: A

[-3 / 2,3 / 2]

The correct answer is A (

[-3 / 2,3 / 2]

) because for

f(x)

to be invertible, its derivative must be either always non-negative or always non-positive, leading to the condition

|a| \leq \frac{3}{2}

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