What is the domain of f(x)= 8/(16-x^2) ?

The domain of f(x)= 8/(16-x^2) is x 4

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domain of f(x)= 8/(16-x^2)

domain

f (x) = \frac{8}{16 - x ^{2}}

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) = x^{3} - 3 x - 2

\frac{3 x ^{2} + x - 10}{5 x ^{2} - 27 x + 10}

\frac{x ^{2}}{x ^{2} - 9}

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

y = 3^{2 x - 4}

What is the domain of f(x)= 8/(16-x^2) ?
The domain of f(x)= 8/(16-x^2) is x<-4\lor-4<x<4\lor x>4