What is the domain of f(x)=(x-3)/(x^2+9x-22) ?

The domain of f(x)=(x-3)/(x^2+9x-22) is x 2

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domain of f(x)=(x-3)/(x^2+9x-22)

domain

f (x) = \frac{x - 3}{x ^{2} + 9 x - 22}

x < - 11 or - 11 < x < 2 or x > 2

Interval Notation

(- \infty, - 11) \cup (- 11, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 11

The function domain

x < - 11 or - 11 < x < 2 or x > 2

What is the domain of f(x)=(x-3)/(x^2+9x-22) ?
The domain of f(x)=(x-3)/(x^2+9x-22) is x<-11\lor-11<x<2\lor x>2