What is the domain of (x-4)/(x^2+8x+16) ?

The domain of (x-4)/(x^2+8x+16) is x -4

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domain of (x-4)/(x^2+8x+16)

domain

\frac{x - 4}{x ^{2} + 8 x + 16}

x < - 4 or x > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

f (x) = \frac{1}{2} x + 2

f (x) = \frac{1}{2} x - 6

g (x) = \frac{1}{x}

f (x) = 2 x - 4 + \frac{1}{x - 2}

\frac{x + 6}{x ^{2} + x - 6}

What is the domain of (x-4)/(x^2+8x+16) ?
The domain of (x-4)/(x^2+8x+16) is x<-4\lor x>-4