# How do you find the domain and range of #f(x) = 1 + sqrt(9 - x^2)#?

##### 1 Answer

Jun 5, 2017

The domain of

Which is valid for

Hence the domain is

For the range of the function we have that

and the maximum value of f(x) is achieved when

and that is

Hence the range of the function is

The graph of the function is