What is the domain of f(x)= 1/(x^2+7x-18) ?

The domain of f(x)= 1/(x^2+7x-18) is x 2

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domain of f(x)= 1/(x^2+7x-18)

domain

f (x) = \frac{1}{x ^{2} + 7 x - 18}

x < - 9 or - 9 < x < 2 or x > 2

Interval Notation

(- \infty, - 9) \cup (- 9, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 9

The function domain

x < - 9 or - 9 < x < 2 or x > 2

\frac{2 - x}{x + 5}

y = x - 4

- x^{3} + 3 x^{2} + 10 x

\frac{1}{x + 2} + 3

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

What is the domain of f(x)= 1/(x^2+7x-18) ?
The domain of f(x)= 1/(x^2+7x-18) is x<-9\lor-9<x<2\lor x>2