What is the domain of g(x)=(7x)/(x^2-16) ?

The domain of g(x)=(7x)/(x^2-16) is x 4

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domain of g(x)=(7x)/(x^2-16)

domain

g (x) = \frac{7 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) = 3 x^{2} + 5 x + 7

f (x) = (x - 1) + 2

\frac{6 - x}{4 x + 20}

y = \frac{x + 3}{2 x - 5}

\frac{x ^{3} + 2}{x ^{3} + 1}

What is the domain of g(x)=(7x)/(x^2-16) ?
The domain of g(x)=(7x)/(x^2-16) is x<-4\lor-4<x<4\lor x>4