What is the domain of f(x)=(-2x)/(x^4-72x^2+1296) ?

The domain of f(x)=(-2x)/(x^4-72x^2+1296) is x 6

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domain of f(x)=(-2x)/(x^4-72x^2+1296)

domain

f (x) = \frac{- 2 x}{x ^{4} - 72 x ^{2} + 1296}

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) = 2 + 26

\frac{- 2}{x - 2} - 2

f (x) = \frac{- 3}{x ^{2} - 4}

cot (3 x)

f (x) = \frac{1}{- x + 2} + 3

What is the domain of f(x)=(-2x)/(x^4-72x^2+1296) ?
The domain of f(x)=(-2x)/(x^4-72x^2+1296) is x<-6\lor-6<x<6\lor x>6