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Maths-

General

Easy

Question

Extreme Values:The range of $f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root$

[-1,1]
[-2,2]
[-3,3]
[-4,4]

hint Hint:

In this question, we have to find the range of the given function. We know that the range of cos y is [-1, 1] using the inequality from it, we can find the range of given trigonometric function.

The correct answer is: [-3,3]

$A s comma space minus 1 less or equal than cos space y less or equal than 1 P u t t i n g space t h e space v a l u e comma space y space equals square root of 3 plus x plus x squared end root comma rightwards double arrow negative 1 less or equal than cos space square root of 3 plus x plus x squared end root less or equal than 1 M u l t i p l y i n g space b y space 3 comma rightwards double arrow negative 3 less or equal than 3 cos square root of 3 plus x plus x squared end root less or equal than 3 S o comma space t h e space r a n g e space i s space left square bracket negative 3 comma space 3 right square bracket.$

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