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

(- \infty, 0) \cup (0, \frac{3}{16}]

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}

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