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anurag singhal Grade:
        

f(x)=root(log0.3(x-1)/x2-2x-8)

7 years ago

Answers : (1)

Ramesh V
70 Points
										

The domain of f(x) is :


necessary condition : (x-1)>0


the value under f(x) shld always be positive


case 1:


log0.3(x-1) > 0  and (x+2)(x-4) > 0


x-1 > 1  and (x+2)(x-4) > 0  and x>1


the overlapping region is x > 4


case 1:


log0.3(x-1) < 0  and (x+2)(x-4) < 0


x-1 < 1  and (x+2)(x-4) < 0


x<2 and -2<x<4  and x>1


the overlapping region is : (1 , 2)


the domain is : (1,2) U (4,infinity)


--


Regards


Ramesh

7 years ago
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