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Q.

The range of f(x)=log3⁡5−4x−x2 is

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a

−∞,2

b

−∞,2

c

(−∞,4)

d

−∞,3

answer is A.

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Detailed Solution

f(x)=log3⁡5−4x−x2=log3⁡9−(x−2)2f(x) is defined if  9−(x−2)2>0 but 9−(x−2)2≤9  or  0<9−(x−2)2≤9  or  −∞
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