Question

The domain of the function f(x) is {0, -3, -6}.

If f(x)= x+2/ 3-x what is the range?

How do I solve this?

Answer 1

f(x)=(x+2)/(x-3)?

Answer 2

just do the substitution
when x=0...y=-2/3
when x=-3...y=1/6
when x=-6...y=4/9
so the range is {-2/3,1/6,4/9}