What is the domain of (2s+3)/(s(2s+1)) ?

The domain of (2s+3)/(s(2s+1)) is s 0

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domain of (2s+3)/(s(2s+1))

domain

s < - \frac{1}{2} or - \frac{1}{2} < s < 0 or s > 0

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

s = 0, s = - \frac{1}{2}

The function domain

s < - \frac{1}{2} or - \frac{1}{2} < s < 0 or s > 0

What is the domain of (2s+3)/(s(2s+1)) ?
The domain of (2s+3)/(s(2s+1)) is s<-1/2 \lor-1/2 <s<0\lor s>0