What is the domain of (3x+7)/(x^2+5x+4) ?

The domain of (3x+7)/(x^2+5x+4) is x -1

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domain of (3x+7)/(x^2+5x+4)

domain

\frac{3 x + 7}{x ^{2} + 5 x + 4}

x < - 4 or - 4 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 4) \cup (- 4, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 4

The function domain

x < - 4 or - 4 < x < - 1 or x > - 1

y = e^{x} - 2

y = e^{x} + 1

f (x) = x - 1 + 9 - x

f (x) = \frac{5}{∣ 1 ∣ x ∣ - 3 ∣ - 4}

\frac{x - 5}{x ^{2} + 10 x + 25}

What is the domain of (3x+7)/(x^2+5x+4) ?
The domain of (3x+7)/(x^2+5x+4) is x<-4\lor-4<x<-1\lor x>-1