Question

find the domin And range of the function f (x) =√9-x2​

Answer 1

Step-by-step explanation:

To determine the domain, we must get a postive or zero value inside the root so that the answer is real(not imaginary).

Thus for x=3 we get f(x)=√0=0.

For further greater values for x we will get f(x) of the format √-x which in turn is imaginary. Thus, domain of function = (-infinity,3]

For range putting value -infinity, we get f(x)= infinity and for x=3 we have f(x)=0.

Thus range of function = [0,infinity)