What is the domain of f(x)=(x-6)/(x^2-36) ?

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

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domain of f(x)=(x-6)/(x^2-36)

domain

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

- 4 y = - 40

f (x) = 6 x^{2} - 2 x^{3}

f (x) = \frac{x}{x ^{2} + 11 x + 28}

(0.2) (8.8)

f (x) = x - 2 + 5

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