What are the domain and range of the function f(x)=-3(x-5)squared+4

Domain is all real numbers
range
hmm
we know that x^2=a positive number
then multiply it by that negative -3
therefor the range is going to be mostly negative
if we make the x-5  equal to zero, then there is no negative, so
wher x=5, then f(5)=0+4=4
the highest positive number you can get is f(5)=4

so therfor

domain=all real number
range is x≤4

Possibility of getting a sum of 3 : 1/8
Possibility of getting a sum of 4 : 2/8
Possibility of getting a sum of 5 : 2/8
Possibility of getting a sum of 6 : 2/8
Possibility of getting a sum of 7 : 1/8