What is the domain of f(x)= x/(x^2+11x+28) ?

The domain of f(x)= x/(x^2+11x+28) is x -4

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domain of f(x)= x/(x^2+11x+28)

domain

f (x) = \frac{x}{x ^{2} + 11 x + 28}

x < - 7 or - 7 < x < - 4 or x > - 4

Interval Notation

(- \infty, - 7) \cup (- 7, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4, x = - 7

The function domain

x < - 7 or - 7 < x < - 4 or x > - 4

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

y = 3^{x - 1}

\frac{3 x}{x - 3}

f (x) = lo g_{5} (x^{3})

y = \frac{x ^{2} - 4}{x ^{2} - 1}

What is the domain of f(x)= x/(x^2+11x+28) ?
The domain of f(x)= x/(x^2+11x+28) is x<-7\lor-7<x<-4\lor x>-4