What is the domain of f(x)=(x^2-3x-10)/(x^2-7x-18) ?

The domain of f(x)=(x^2-3x-10)/(x^2-7x-18) is x 9

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domain of f(x)=(x^2-3x-10)/(x^2-7x-18)

domain

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 9, x = - 2

The function domain

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

What is the domain of f(x)=(x^2-3x-10)/(x^2-7x-18) ?
The domain of f(x)=(x^2-3x-10)/(x^2-7x-18) is x<-2\lor-2<x<9\lor x>9