What is the domain of g(x)=(7x)/(x^2-36) ?

The domain of g(x)=(7x)/(x^2-36) is x 6

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domain of g(x)=(7x)/(x^2-36)

domain

g (x) = \frac{7 x}{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) = \frac{arcsin ( \frac{x}{2} )}{4}

(3, 2), (8, 10)

x^{2} + 14 x + 45

f (x) = x e^{- x^{2}}

f (x) = x^{4} - 4 x^{3} + 9

What is the domain of g(x)=(7x)/(x^2-36) ?
The domain of g(x)=(7x)/(x^2-36) is x<-6\lor-6<x<6\lor x>6