What is the domain of f(x)=(x+10)/(x^2-100) ?

The domain of f(x)=(x+10)/(x^2-100) is x 10

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domain of f(x)=(x+10)/(x^2-100)

domain

f (x) = \frac{x + 10}{x ^{2} - 100}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 10, x = - 10

The function domain

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

x = 9 (y - 7)^{2} + 5

f (x) = \frac{x + 2}{x - 6}

f (x) = - 0.1 t^{2} + 1.2 t + 98.3

f (x) = 2 x x - 5

x - 1

What is the domain of f(x)=(x+10)/(x^2-100) ?
The domain of f(x)=(x+10)/(x^2-100) is x<-10\lor-10<x<10\lor x>10