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

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

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

domain

\frac{x}{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

f (x) = 2 lo g_{10} (x - 2)

f (x) = \frac{7 x}{8 x - 1}

\frac{x ^{2}}{x - 7}

f (x) = \frac{1}{2} x^{2} - 7 x + 7

\frac{1}{x ^{2} + 4}

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