Give an example of a function that has the domain (-5,3) U (3,oo)

Question

Give an example of a function that has the domain (-5,3) U (3,oo)

Answer 1

f(x) = (sqr(x+5))/(x+5)(x-3)

or

f(x) = sqr(x+5)/(x^2 +2x -15)

or

f(x) =1/(x-3)(sqr(x+5))

have domain = (-5,3)U(3,infinity)

3 or -5 are not possible values for x, as they make the denominator =0. division by zero is not defined

x<-5 is not possible as it makes the square root of x+5 imaginary

that leaves the domain as -5<x<3 and 3<x<infinity