What is the domain of sqrt(x(2-3x)) ?

The domain of sqrt(x(2-3x)) is 0<= x<= 2/3

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domain of sqrt(x(2-3x))

domain

x (2 - 3 x)

0 \leq x \leq \frac{2}{3}

Interval Notation

[0, \frac{2}{3}]

Solution steps

Find non-negative values for radicals:

0 \leq x \leq \frac{2}{3}

The function domain

0 \leq x \leq \frac{2}{3}

x^{2} - 5 x + 6

\frac{x}{2 x - 7}

- x + 4

- x^{2} + 6

y = 3 - 2^{x}

What is the domain of sqrt(x(2-3x)) ?
The domain of sqrt(x(2-3x)) is 0<= x<= 2/3