What is the domain of 7/(\frac{7){x-6}-6} ?

The domain of 7/(\frac{7){x-6}-6} is x 43/6

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domain of 7/(\frac{7){x-6}-6}

domain

\frac{7}{\frac{7}{x - 6} - 6}

x < 6 or 6 < x < \frac{43}{6} or x > \frac{43}{6}

Interval Notation

(- \infty, 6) \cup (6, \frac{43}{6}) \cup (\frac{43}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{43}{6}, x = 6

The function domain

x < 6 or 6 < x < \frac{43}{6} or x > \frac{43}{6}

f (x) = \frac{x + 3}{x ^{2} + 1}

f (x) = \frac{10 - 10 x ^{2}}{x ^{2}}

(5 x + 6) + (1 - 8 x) (x)

\frac{1}{3} x^{2} + 4

\frac{x + 3}{4 x + 3}

What is the domain of 7/(\frac{7){x-6}-6} ?
The domain of 7/(\frac{7){x-6}-6} is x<6\lor 6<x< 43/6 \lor x> 43/6