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

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

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

domain

f (x) = \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

\frac{- 2}{x ^{2} + 3 x - 28}

\frac{x + 8}{x ( x + 11 )}

f (x) = (2 x - 1) + (- 5 x^{2})

x^{4} - x^{3} - 15 x^{2} - 23 x - 10

y = 2^{x} + 2^{y} = 2

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