What is the domain of f(x)=(x+5)/(x^2-36) ?

The domain of f(x)=(x+5)/(x^2-36) is x 6

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domain of f(x)=(x+5)/(x^2-36)

domain

f (x) = \frac{x + 5}{x ^{2} - 36}

x < - 6 or - 6 < x < 6 or x > 6

Interval Notation

(- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

x < - 6 or - 6 < x < 6 or x > 6

f (x) = 2 x^{2} + 7 x - 15

f (x) = \frac{x + 1}{x ^{2} + x - 6}

f (x) = lo g_{5} (x - 6) + 2

f (x) = 27 x^{3} + 1

f (x) = x - 1 + 2

What is the domain of f(x)=(x+5)/(x^2-36) ?
The domain of f(x)=(x+5)/(x^2-36) is x<-6\lor-6<x<6\lor x>6