What is the domain of f(x)=((x+4)/(x^2-16)) ?

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

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domain of f(x)=((x+4)/(x^2-16))

domain

f (x) = (\frac{x + 4}{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) = \frac{3 x}{4 x + 11}

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

2^{2 + x}

y = 49 - x^{2}

\frac{5 x}{2 x ^{2} + 7}

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