What is the domain of f(x)= x/(4x^2-16) ?

The domain of f(x)= x/(4x^2-16) is x 2

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domain of f(x)= x/(4x^2-16)

domain

f (x) = \frac{x}{4 x ^{2} - 16}

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

x^{4} - 16

f (x) = ln (x) - 1

\frac{x + 5}{x - 6}

\frac{1}{t}

x^{4} + 2 x^{3} + 2 x^{2} + 4 x

What is the domain of f(x)= x/(4x^2-16) ?
The domain of f(x)= x/(4x^2-16) is x<-2\lor-2<x<2\lor x>2