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

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

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

domain

\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

f (x) = arccos (\frac{( 1 - 2 x )}{4})

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

y = x + 7

2 + x^{2} ln (x)

f (x) = \frac{6 x - 7}{11 x + 8}

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