What are the domain and the range of the function f(x)=-3(x-5)^2+4?

Answer:domain: (-∞, ∞)Range: [4, ∞)Step-by-step explanation:Domain is all of the values of x that satisfy the equation. You can find this by looking for any asymptotes, or just any value that f(x) does not exist. If you simply think if this as a graph, the function continues for all real numbers. Therefore, domain: (-inf, inf)As for range (the y values of the function), we need to know if there are any horizontal asymptotes, or y-values that y does not exist. We can tell that the function starts at 4. There is no value >4 that does not satisfy the equation, so range: [4, inf)Please let me know if you need any more help!