What is the domain of g(x)=(x+2)/(x^2-25) ?

The domain of g(x)=(x+2)/(x^2-25) is x 5

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domain of g(x)=(x+2)/(x^2-25)

domain

g (x) = \frac{x + 2}{x ^{2} - 25}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

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

f (x) = \frac{x ^{2} - 1}{x ^{3} - 8}

\frac{1}{2} x^{2}

x^{3} + 4

f (x) = f (t) = - 16 t^{2} + 16 t + 32

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

What is the domain of g(x)=(x+2)/(x^2-25) ?
The domain of g(x)=(x+2)/(x^2-25) is x<-5\lor-5<x<5\lor x>5