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

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

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

domain

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

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

f (x) = 4 - 7 x^{2}

f (x) = \frac{1}{x ^{2} - 9}

f (x) = 7 x^{4} - 2 x^{3}

f (x) = x^{x}

\frac{3 x ^{2} - 9 x + 12}{x ^{2} - 10 x + 25}

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