What is the domain of f(x)=(5x+12)/(x^2+12x+20) ?

The domain of f(x)=(5x+12)/(x^2+12x+20) is x -2

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domain of f(x)=(5x+12)/(x^2+12x+20)

domain

f (x) = \frac{5 x + 12}{x ^{2} + 12 x + 20}

x < - 10 or - 10 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 10) \cup (- 10, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 10

The function domain

x < - 10 or - 10 < x < - 2 or x > - 2

f (x) = \frac{( x - 6 )}{x + 5}

\frac{1}{\frac{2}{x - 1} + 2}

5 - x + 6

f (x) = \frac{x + 8}{x ^{2} + 4}

What is the domain of f(x)=(5x+12)/(x^2+12x+20) ?
The domain of f(x)=(5x+12)/(x^2+12x+20) is x<-10\lor-10<x<-2\lor x>-2