Determine whether the rule describes a function with the giv

Determine whether the rule describes a function with the given domain and codomain. Justify your response with a brief explanation. a) f:Z^+ rightarrow R where f(x) = Squareroot x b) g: R rightarrow R where g(x) = 1/x - 5

Solution

a) yes it is a square root function defined on integers. f(x) = sqrt x takes positive sqaure root. it is defined for all the points in domain

b) it is not a function since it is not defined at point 5 which is in domain