What is the domain of f(x)= 4/(\frac{13){x}-3} ?

The domain of f(x)= 4/(\frac{13){x}-3} is x 13/3

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domain of f(x)= 4/(\frac{13){x}-3}

domain

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

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

The function domain

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

What is the domain of f(x)= 4/(\frac{13){x}-3} ?
The domain of f(x)= 4/(\frac{13){x}-3} is x<0\lor 0<x< 13/3 \lor x> 13/3