Me, i don't wanna fail pl. what is the range of the function g(x)=3x^2-6x+3 when the domain is defined as the set of integers, x, such that 0< =x< =4?

The range is the set of all the y or in your case values that g(x) can have

Domain is
X= {0, 1, 2, 3, 4}

Range is
Y= g(x)= { g(0)=3, g(1)=0, g(2)=3, g(3)=12, g(4)=... }