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{5}{x - 3} + x^{2} - 3 x - 28

f (x) = \frac{x}{x ^{2} + 7 x + 12}

- 3 x \cdot lo g_{10} (x + 8)

f (x) = ln ∣ 2 x - 4 ∣

f (x) = t^{2} - 16

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