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Q. Find domain of f (x) = log 10 1 + x 3

Dear student
We have,f(x)=log101+x31+x3>0   logaf(x)f(x)>01+x(1+x2-x)>0    a3+b2=(a+b)(a2+b2-ab)Compute the signs of the factors of 1+x(1+x2-x) 
  x<-1 x=1 x>-1
x+1 - 0 +
x2+1-x + + +
(x+1)(x2+1-x) - 0 +
Choosing ranges that satisfy the required condition:>0x>-1So, domain (f) is -1,
Regards

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To find domain equate the following with 0

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How can u assume the whole log term to be 0?
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