# What is the domain and range of #f(x) =sqrt(( x- (3x^2)))#?

##### 1 Answer

Domain

Range

#### Explanation:

Numbers under a radical must be greater than or equal to 0 or they are imaginary, so to solve the domain:

So our domain is:

Since the minimum input is

To find the maximum we need to find the max of

in the form

vertex (max) =

vertex (max) =

vertex (max) =

Finally, don't forget the square root, we have a maximum at