What is the domain of f(x)=(5x)/(x^2-16) ?

The domain of f(x)=(5x)/(x^2-16) is x 4

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domain of f(x)=(5x)/(x^2-16)

domain

f (x) = \frac{5 x}{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

5 cos (6 x + \frac{π}{2})

3 - 2 x

f (x) = x^{3} - 9 x^{2} + 15 x

y = \frac{x ^{2} - 3 x - 4}{1 - 3 x - 4 x ^{2}}

\frac{20}{10 + e ^{x}}

What is the domain of f(x)=(5x)/(x^2-16) ?
The domain of f(x)=(5x)/(x^2-16) is x<-4\lor-4<x<4\lor x>4