What is the domain of (7x-1)/(4x^2-27x-81) ?

The domain of (7x-1)/(4x^2-27x-81) is x 9

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domain of (7x-1)/(4x^2-27x-81)

domain

\frac{7 x - 1}{4 x ^{2} - 27 x - 81}

x < - \frac{9}{4} or - \frac{9}{4} < x < 9 or x > 9

Interval Notation

(- \infty, - \frac{9}{4}) \cup (- \frac{9}{4}, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 9, x = - \frac{9}{4}

The function domain

x < - \frac{9}{4} or - \frac{9}{4} < x < 9 or x > 9

What is the domain of (7x-1)/(4x^2-27x-81) ?
The domain of (7x-1)/(4x^2-27x-81) is x<-9/4 \lor-9/4 <x<9\lor x>9