What is the domain of (x-3)/(x^2+5x-36) ?

The domain of (x-3)/(x^2+5x-36) is x 4

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domain of (x-3)/(x^2+5x-36)

domain

\frac{x - 3}{x ^{2} + 5 x - 36}

x < - 9 or - 9 < x < 4 or x > 4

Interval Notation

(- \infty, - 9) \cup (- 9, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 9

The function domain

x < - 9 or - 9 < x < 4 or x > 4

\frac{2 x ^{2}}{x ^{2} - 16}

f (x) = \frac{x}{4 x ^{2} - 16}

x^{4} - 16

f (x) = ln (x) - 1

\frac{x + 5}{x - 6}

What is the domain of (x-3)/(x^2+5x-36) ?
The domain of (x-3)/(x^2+5x-36) is x<-9\lor-9<x<4\lor x>4