# How do you find the domain and range of #sqrt ( x- (3x^2))#?

##### 1 Answer

Aug 11, 2018

The domain is

#### Explanation:

The function is

What's under the square root sign is

Therefore,

The solution to this inequality (obtained with a sign chart) is

The domain is

When

When

This is a quadratic equation in

We keep the positive solution

The range is

graph{sqrt(x-3x^2) [-0.192, 0.5473, -0.044, 0.3256]}