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

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

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

domain

\frac{5 x ^{2}}{x ^{2} - 16}

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

Solution steps

Find undefined (singularity) points:

x = 4, x = - 4

The function domain

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

f (x) = 4 x^{2} - 36

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

f (x) = \frac{7 x - 3}{5 - 4 x}

lo g_{10} (x) - 1

\frac{3 x - 4}{- 2 x + 11}

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