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

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

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

domain

f (x) = \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{3 + ∣ x ∣}{2 x ^{2} + 5 x - 3}

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

\frac{4 x ^{2}}{x ^{2} + 4}

y = \frac{3}{4} x, (20, 15)

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