Q.

The range of the function f(x)=sinlog4x21x is 3a,b then a+b is equal to

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answer is 0.66.

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Detailed Solution

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For f (x) to be defined,
4x21x>0,4x2>0 and 1x0  Since 4x20
 We have 1 – x > 0 and 4 – x2 > 0
⇒ x < 1 and (x – 2) (x + 2) < 0
⇒ x < 1 and – 2 < x < 2
⇒ –2 < x < 1
 Domain of f = (– 2, 1).
 Since <log4x21x< 1sinlog4x21x1
 Range of f = [–1, 1] =[3a,b]

 then a=-13,b=1

 

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