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

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

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

domain

f (x) = \frac{5}{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

in t erce pt s f (x) = x^{2} - 25

cr i t i c a l f (x) = x^{\frac{5}{2}} - 5 x^{2}

e x t re m e f (x) = x^{3} - x^{2} - 2 x

p er p e n d i c u l a r f = \frac{8}{5}

in v erse f (x) = \frac{x}{x - 2}

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