What is the domain of y= 2/(\frac{13){x}+3} ?

The domain of y= 2/(\frac{13){x}+3} is x 0

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domain of y= 2/(\frac{13){x}+3}

domain

x < - \frac{13}{3} or - \frac{13}{3} < x < 0 or x > 0

Interval Notation

(- \infty, - \frac{13}{3}) \cup (- \frac{13}{3}, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{13}{3}, x = 0

The function domain

x < - \frac{13}{3} or - \frac{13}{3} < x < 0 or x > 0

What is the domain of y= 2/(\frac{13){x}+3} ?
The domain of y= 2/(\frac{13){x}+3} is x<-13/3 \lor-13/3 <x<0\lor x>0