What is the domain of f(x)=(x-8)/(x^2+8x-9) ?

The domain of f(x)=(x-8)/(x^2+8x-9) is x 1

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domain of f(x)=(x-8)/(x^2+8x-9)

domain

x < - 9 or - 9 < x < 1 or x > 1

Interval Notation

(- \infty, - 9) \cup (- 9, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 9

The function domain

x < - 9 or - 9 < x < 1 or x > 1

What is the domain of f(x)=(x-8)/(x^2+8x-9) ?
The domain of f(x)=(x-8)/(x^2+8x-9) is x<-9\lor-9<x<1\lor x>1