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

The domain of

In this case,

Consequently,

Construct the sign chart.

Consequently,

graph{sqrt(x-3x^2) [-0.589, 1.096, -0.307, 0.536]}

By signing up, you agree to our Terms of Service and Privacy Policy

[ x - 3x^2 \geq 0 ] [ x(1 - 3x) \geq 0 ] [ x \geq 0 , \text{and} , 1 - 3x \geq 0 ] [ x \geq 0 , \text{and} , x \leq \frac{1}{3} ] [ \text{Domain:} , x \in \left[ 0, \frac{1}{3} \right] ]

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you decide whether the relation #7x^2+y^2=1# defines a function?
- How do you find #(h-g)(t)# given #h(t)=2t+1# and #g(t)=2t+2#?
- The perimeter of a rectangular book is 48 inches. How do you express the length of the book as a function of the width?
- What is the domain and range of the quadratic equation #y = –x^2 – 14x – 52#?
- How do you evaluate the function with the given values of x: f(x)=4x x=2, x=1/2?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7