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sindhuja P Grade: 11
        

Find the domain of the real valued function


f(x)=√log0.3 (x-x2)

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear sindhuja


f(x)=√log0.3 (x-x2)


term inside the rute must be positive


log0.3 (x-x2)≥0


so   here base 0.3<1


 so   0 <x-x2 ≤ 1


   x-x2 >0


  x(1-x)>0


    x<0  or x>1


and  x-x2 ≤ 1


        x2 -x +1 ≤0


    it is always true


 so domain will be x<0  or x>1


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Badiuddin



7 years ago
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