Question 103035
Let's get some definitions first. 
Whole numbers : 0,1,2,3,4,... 
Integers : Whole numbers and negative whole numbers : ...,-4,-3,-2,-1,0,1,2,3,4,...
Rational numbers : Numbers defined as ratios of integers : 1/2, 5/6, 8/3,...

{{{f(x)=(x^2+1)/(x-3)}}}
When x=-1
{{{f(-1)=((-1)^2+1)/(-1-3)}}}
{{{f(-1)=(2)/(-4)}}}
{{{f(-1)= 1/2}}}
1/2 is a rational number

{{{f(x)=(x^2+1)/(x-3)}}}
When x=0
{{{f(0)=((0)^2+1)/(0-3)}}}
{{{f(0)=(1)/(-3)}}}
{{{f(0)= -1/3}}}
-1/3 is a rational number
{{{f(x)=(x^2+1)/(x-3)}}}
When x=1
{{{f(1)=((1)^2+1)/(1-3)}}}
{{{f(1)=(2)/(-2)}}}
{{{f(1)= 1}}}
1 is a rational number (1/1), an integer, and a whole number