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

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 7

The function domain

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

f (x) = \frac{x ^{2} + 6 x + 5}{x ^{2} - 25}

f (x) = \frac{x + 2}{11 - x}

y = - tan (\frac{3}{2}) (x - \frac{π}{3}) + 5

f (x) = ln (3 - ln (x))

(\frac{1}{4})^{x}

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