What is the domain of 3/((\frac{5){x-1})+4} ?

The domain of 3/((\frac{5){x-1})+4} is x 1

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domain of 3/((\frac{5){x-1})+4}

domain

x < - \frac{1}{4} or - \frac{1}{4} < x < 1 or x > 1

Interval Notation

(- \infty, - \frac{1}{4}) \cup (- \frac{1}{4}, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{4}, x = 1

The function domain

x < - \frac{1}{4} or - \frac{1}{4} < x < 1 or x > 1

What is the domain of 3/((\frac{5){x-1})+4} ?
The domain of 3/((\frac{5){x-1})+4} is x<-1/4 \lor-1/4 <x<1\lor x>1