What is the domain of w(x)=-(3x)^{1/2}-4 ?

The domain of w(x)=-(3x)^{1/2}-4 is w<0\lor 0<w<= 3/16

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domain of w(x)=-(3x)^{1/2}-4

domain

w (x) = - (3 x)^{\frac{1}{2}} - 4

w < 0 or 0 < w \leq \frac{3}{16}

Interval Notation

Solution steps

Find non-negative values for radicals:

w \leq \frac{3}{16}

Find undefined (singularity) points:

w = 0

Combine real regions and undefined points for final function domain

w < 0 or 0 < w \leq \frac{3}{16}

f (x) = \frac{1 - 7 x}{x ^{2} - 4 x}

\frac{2}{∣ x - 2 ∣ - 1}

f (x) = \frac{x - 3}{x ^{2} + 6 x - 27}

f (x) = 5 - 10 x

y = \frac{2 ^{2 - x}}{x}

What is the domain of w(x)=-(3x)^{1/2}-4 ?
The domain of w(x)=-(3x)^{1/2}-4 is w<0\lor 0<w<= 3/16