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

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

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

domain

f (x) = \frac{x - 4}{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) = 16 x - 25

g (x) = \frac{x}{4 x ^{2} - 9}

f (x) = \frac{6 x}{x ^{2} - 2 x}

f (x) = 2 tan (2 x) + 1

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

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