What is the domain of f(x)=(x-4)/(x^2+8x+7) ?

The domain of f(x)=(x-4)/(x^2+8x+7) is x -1

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domain of f(x)=(x-4)/(x^2+8x+7)

domain

f (x) = \frac{x - 4}{x ^{2} + 8 x + 7}

x < - 7 or - 7 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 7) \cup (- 7, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 7

The function domain

x < - 7 or - 7 < x < - 1 or x > - 1

What is the domain of f(x)=(x-4)/(x^2+8x+7) ?
The domain of f(x)=(x-4)/(x^2+8x+7) is x<-7\lor-7<x<-1\lor x>-1