What is the domain of f(x)= 2/((\frac{2){x-7})-7} ?

The domain of f(x)= 2/((\frac{2){x-7})-7} is x 51/7

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domain of f(x)= 2/((\frac{2){x-7})-7}

domain

x < 7 or 7 < x < \frac{51}{7} or x > \frac{51}{7}

Interval Notation

(- \infty, 7) \cup (7, \frac{51}{7}) \cup (\frac{51}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{51}{7}, x = 7

The function domain

x < 7 or 7 < x < \frac{51}{7} or x > \frac{51}{7}

What is the domain of f(x)= 2/((\frac{2){x-7})-7} ?
The domain of f(x)= 2/((\frac{2){x-7})-7} is x<7\lor 7<x< 51/7 \lor x> 51/7