What is the domain of 1/(11(\frac{1){11x-1})-1} ?

The domain of 1/(11(\frac{1){11x-1})-1} is x 12/11

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domain of 1/(11(\frac{1){11x-1})-1}

domain

x < \frac{1}{11} or \frac{1}{11} < x < \frac{12}{11} or x > \frac{12}{11}

Interval Notation

(- \infty, \frac{1}{11}) \cup (\frac{1}{11}, \frac{12}{11}) \cup (\frac{12}{11}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{12}{11}, x = \frac{1}{11}

The function domain

x < \frac{1}{11} or \frac{1}{11} < x < \frac{12}{11} or x > \frac{12}{11}

What is the domain of 1/(11(\frac{1){11x-1})-1} ?
The domain of 1/(11(\frac{1){11x-1})-1} is x< 1/11 \lor 1/11 <x< 12/11 \lor x> 12/11