Find the domain and range of the function f(x)= 1/sqrt(x-[x]) Share with your friends Share 14 Manbar Singh answered this We have,fx = 1x-xDomain of f :We know that,0≤x-x<1 for all x∈Rand x - x = 0 for x∈ZSo, 0 < x-x < 1 for all x∈R-ZHence, domain of f = R-ZRange of f :We have, 0 < x-x < 1 for all x∈R-Z⇒0 < x-x < 1 for all x∈R-Z⇒1 < 1x-x < ∞ for all x∈R-Z⇒1 < fx < ∞ for all x∈R-ZHence, range of f = 1,∞ 52 View Full Answer
