What is the domain of (5x-6)/(x^2-36) ?

The domain of (5x-6)/(x^2-36) is x 6

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domain of (5x-6)/(x^2-36)

domain

\frac{5 x - 6}{x ^{2} - 36}

x < - 6 or - 6 < x < 6 or x > 6

Interval Notation

(- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

x < - 6 or - 6 < x < 6 or x > 6

f (x) = \frac{x - 3}{x ^{2} - 5 x + 4}

y = x^{2} - 7 x

f (x) = - e^{x} + 1

f (x) = 2^{(x)} - 3

\frac{x ^{2} + 6}{5 x}

What is the domain of (5x-6)/(x^2-36) ?
The domain of (5x-6)/(x^2-36) is x<-6\lor-6<x<6\lor x>6