What is the domain of f(x)= x/(x^2+4x+3) ?

The domain of f(x)= x/(x^2+4x+3) is x -1

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domain of f(x)= x/(x^2+4x+3)

domain

f (x) = \frac{x}{x ^{2} + 4 x + 3}

x < - 3 or - 3 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 3) \cup (- 3, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 3

The function domain

x < - 3 or - 3 < x < - 1 or x > - 1

f (g (2)), g (x) = 2 x + 1, f (x) = x^{2}

y + 12 = - 3 (x - 4)

f (x) = 2 x - 8

- 2 sin (x + \frac{π}{2})

2 x - 3

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