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) - Maths - Relations and Functions

Question

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}

Shrutina Agarwal · Accepted Answer

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}
â€‹â€‹â€‹â€‹â€‹Hence,
the answer is option iv

Regards,

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}

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}