31.If f(x) and g(x) are polynomial functions of x, then domain of f(x)/g(x) is
i) (-infinity,0]
ii) [0,infinity)
iii) R
iv) R - {x:g(x)=0, x belongs to R}

Dear Student,
The domain of f(x) is R as it is a polynomial function.
The domain of g(x) is R as it is a polynomial function, but g(x) cannot be zero, as then the function f(x)/g(x) will become undefined.
So, Domain of f(x)/g(x) is R - {x:g(x)=0, x belongs to R}
​​​​​Hence, the answer is option iv


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