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

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

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

domain

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

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

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

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

0.5 x + 10

(- 4, - 4), (8, - 4)

y = - 4 x + 9

f (x) = \frac{6 x}{x + 3}

f (x) = (x - 1)^{2} - 4

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