What is the domain and range of #f(x) =sqrt(-2x+5)#?
1 Answer
Mar 16, 2016
Domain: (
Range: [
Explanation:
Square roots should never have a negative value under the radical, otherwise, the solution to the equation will have an imaginary component.
With this in mind, the domain of
Mathematically,
This can be expressed as
The corresponding range can be determined by plugging in the values from the domain. In doing so, it becomes clear that the range is