Perhaps the most central concept in all of mathematics is th

Perhaps the most central concept in all of mathematics is that of a function. You need to understand the concepts of rule, domain, and range, and what it means to evaluate a function at a number or an algebraic expression that may itself be defined by a function. For this and the next two problems let f(x) = x + 1/x^2 - 5x + 6| Two numbers not in the domain of f| are and. (Enter the numbers in increasing size.)

Solution

fuction is not defined if x²-5x +6 =0

x²-3x-2x +6 =0

x(x-3) -2(x-3)=0

(x-2)(x-3)=0

x =2 ,x =3

twow numbers not in domain of f are 2 and 3