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

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

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

domain

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

x < - 4 or - 4 < x < 4 or x > 4

Interval Notation

(- \infty, - 4) \cup (- 4, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 4

The function domain

x < - 4 or - 4 < x < 4 or x > 4

f (x) = e^{x - 5}

- 2 x^{2} + 4 x - 4

f (x) = \frac{x}{2} - \frac{6}{x}

\frac{x}{x + 1}

f (x) = \frac{1}{1.8 x - 3.6 x ^{2}}

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