What is the domain of (8+7x)/(6x-7) ?

The domain of (8+7x)/(6x-7) is x 7/6

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domain of (8+7x)/(6x-7)

domain

\frac{8 + 7 x}{6 x - 7}

x < \frac{7}{6} or x > \frac{7}{6}

Interval Notation

(- \infty, \frac{7}{6}) \cup (\frac{7}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{6}

The function domain

x < \frac{7}{6} or x > \frac{7}{6}

x^{2} - 4 x + 9

y = arctan (x - 3)

f (x) = \frac{3 x ^{2} + 5 x + 9}{x ^{2} - 25}

5 - ∣ 3 x - 2 ∣

f (x) = \frac{- 8 - 2 x}{5 x - 9}

What is the domain of (8+7x)/(6x-7) ?
The domain of (8+7x)/(6x-7) is x< 7/6 \lor x> 7/6