What is the domain of x/(-7x^2+43x-6) ?

The domain of x/(-7x^2+43x-6) is x 6

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domain of x/(-7x^2+43x-6)

domain

\frac{x}{- 7 x ^{2} + 43 x - 6}

x < \frac{1}{7} or \frac{1}{7} < x < 6 or x > 6

Interval Notation

(- \infty, \frac{1}{7}) \cup (\frac{1}{7}, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{7}, x = 6

The function domain

x < \frac{1}{7} or \frac{1}{7} < x < 6 or x > 6

What is the domain of x/(-7x^2+43x-6) ?
The domain of x/(-7x^2+43x-6) is x< 1/7 \lor 1/7 <x<6\lor x>6