What is the domain of ((x+7))/((x^2+8x-9)) ?

The domain of ((x+7))/((x^2+8x-9)) is x 1

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domain of ((x+7))/((x^2+8x-9))

domain

\frac{( x + 7 )}{( x ^{2} + 8 x - 9 )}

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

f (x) = ln (x - 2)

sin (x + π)

(7, - 7), at - x

f (x) = \frac{3 x - 5}{2 x - 8}

f (x) = 2 x^{3} - 3 x^{2} - 12 x

What is the domain of ((x+7))/((x^2+8x-9)) ?
The domain of ((x+7))/((x^2+8x-9)) is x<-9\lor-9<x<1\lor x>1