What is the domain of (6x^2)/(x^2-16) ?

The domain of (6x^2)/(x^2-16) is x 4

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domain of (6x^2)/(x^2-16)

domain

\frac{6 x ^{2}}{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) = x^{5} - 4

f (x) = ln (x - 8)

ln (2 + ln (x))

3 x - x^{3}

\frac{7 x}{x + 4}

What is the domain of (6x^2)/(x^2-16) ?
The domain of (6x^2)/(x^2-16) is x<-4\lor-4<x<4\lor x>4