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

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

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

domain

f (x) = \frac{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) = \frac{1}{lo g _{10} ( x ) - 7}

f (x) = 5 x^{4} - 4 x^{3} + 2 x^{2} - 10 x + 8

f (x) = (x - 5) (x^{2} - 10 x - 50)

\frac{x - 1}{x ^{2} - 4 x + 3}

y = \frac{2}{x + 1}

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