posted by Christa .
find the domain and range of:
the square root of 25-x^2
For f(x) to be real, we require that the expression 25-x² be non-negative, i.e.
(1) is satisfied when
or x∈[-5,5] which is exactly the domain of f(x).
The range of f(x) varies from 0 when x=±5 to 5 when x=0.