What is the domain of g(w)=(w^2-3w)/(2w^3+w^2-21w) ?

The domain of g(w)=(w^2-3w)/(2w^3+w^2-21w) is w 3

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domain of g(w)=(w^2-3w)/(2w^3+w^2-21w)

domain

g (w) = \frac{w ^{2} - 3 w}{2 w ^{3} + w ^{2} - 21 w}

w < - \frac{7}{2} or - \frac{7}{2} < w < 0 or 0 < w < 3 or w > 3

Interval Notation

(- \infty, - \frac{7}{2}) \cup (- \frac{7}{2}, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

w = 0, w = 3, w = - \frac{7}{2}

The function domain

w < - \frac{7}{2} or - \frac{7}{2} < w < 0 or 0 < w < 3 or w > 3

f (x) = \frac{1}{\frac{1}{x}}

f (x) = \frac{x + 3}{2 x}

y = (x - 3)^{3}

x 9 - x

\frac{x}{5 x ^{2} + 4 x - 1}

What is the domain of g(w)=(w^2-3w)/(2w^3+w^2-21w) ?
The domain of g(w)=(w^2-3w)/(2w^3+w^2-21w) is w<-7/2 \lor-7/2 <w<0\lor 0<w<3\lor w>3