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Find the domain of the real valued function
f(x)=√log0.3 (x-x2)
Dear sindhuja
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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