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

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

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

domain

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

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

\frac{4}{5 + x}

\frac{9 x + 41}{- 8 x - 61}

\frac{1}{y + 2}

\frac{6}{x} - 7

lo g_{10} (2 x + 5)

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