What is the domain of f(x)=(x+2)/(x^2+7x+10) ?

The domain of f(x)=(x+2)/(x^2+7x+10) is x -2

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domain of f(x)=(x+2)/(x^2+7x+10)

domain

f (x) = \frac{x + 2}{x ^{2} + 7 x + 10}

x < - 5 or - 5 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 5) \cup (- 5, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 5

The function domain

x < - 5 or - 5 < x < - 2 or x > - 2

\frac{x}{4} + \frac{17}{4}

y = 4 x^{2} - x + 17

- x^{2} - 4, x \leq 0

f (x) = 8 x - 3 x^{2}

f (x) = x + \frac{1}{x}

What is the domain of f(x)=(x+2)/(x^2+7x+10) ?
The domain of f(x)=(x+2)/(x^2+7x+10) is x<-5\lor-5<x<-2\lor x>-2