If f(x) = x - 3/x and g(x) = 5x – 4, what is the domain of (f x g) (x)?

a.) {x i x ≠ 0}
b.){x i x ≠ 1/3}
c.){x i x ≠ 4/5}
d.){x i x ≠ 3}

answer:

option a   that is   is correct

explanation:

we have been given two functions and

since, we have to find domain of   (fxg)(x)

first, we will find (f x g)(x) =

after simplification we will get

hence, x should not be equal to zero because if it is so the value of the function becomes not defined which should not happen for the point of domain.

therefore, that is     is correct