#
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}

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

Regards,

**
**