What is the domain of f(x)=(x^2+5x+6)/(x+4) ?

The domain of f(x)=(x^2+5x+6)/(x+4) is x -4

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domain of f(x)=(x^2+5x+6)/(x+4)

domain

f (x) = \frac{x ^{2} + 5 x + 6}{x + 4}

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) = lo g_{5} (x) + 2

x^{2} + 4 x + 3

f (x) = 3 + 6 + 9 x

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

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

What is the domain of f(x)=(x^2+5x+6)/(x+4) ?
The domain of f(x)=(x^2+5x+6)/(x+4) is x<-4\lor x>-4