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

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

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

domain

f (x) = \frac{x + 7}{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

cos (x)

f (x) = 4 sin (5 x)

y = - 3 x^{2}

f (x) = 1 - 3 x

x + 2

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