What is the domain of (sqrt(2x))(sqrt(-3x+6)) ?

The domain of (sqrt(2x))(sqrt(-3x+6)) is 0<= x<= 2

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domain of (sqrt(2x))(sqrt(-3x+6))

domain

(2 x) (- 3 x + 6)

0 \leq x \leq 2

Interval Notation

[0, 2]

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 2

The function domain

0 \leq x \leq 2

y = (x + 3)^{2}

f (x) = \frac{- 4 x ^{2} + 7 x - 2}{x ^{2} + 5}

f (x) = \frac{5}{x - 3}

f (x) = 35 - 7 x

5 sin (2 x + π)

What is the domain of (sqrt(2x))(sqrt(-3x+6)) ?
The domain of (sqrt(2x))(sqrt(-3x+6)) is 0<= x<= 2