What is the domain of f(x)=(14)/(x^2-9x-36) ?

The domain of f(x)=(14)/(x^2-9x-36) is x 12

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domain of f(x)=(14)/(x^2-9x-36)

domain

f (x) = \frac{14}{x ^{2} - 9 x - 36}

x < - 3 or - 3 < x < 12 or x > 12

Interval Notation

(- \infty, - 3) \cup (- 3, 12) \cup (12, \infty)

Solution steps

Find undefined (singularity) points:

x = 12, x = - 3

The function domain

x < - 3 or - 3 < x < 12 or x > 12

f (x) = 2 y - 3 x = - 8

f (x) = x^{3} - 12 x^{2} - 27 x + 3

y = - 3 (x - 1)

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

(1, 8), (6, 23)

What is the domain of f(x)=(14)/(x^2-9x-36) ?
The domain of f(x)=(14)/(x^2-9x-36) is x<-3\lor-3<x<12\lor x>12