What is the domain of f(x)=(x-10)/(x^2-16) ?

The domain of f(x)=(x-10)/(x^2-16) is x 4

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domain of f(x)=(x-10)/(x^2-16)

domain

f (x) = \frac{x - 10}{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

8 x - 1704

- 5.5

f (x) = 7 x^{2} + 8 x - 15

3 x e^{\frac{1}{x}}

f (x) = 6 x - 2 y = 9

What is the domain of f(x)=(x-10)/(x^2-16) ?
The domain of f(x)=(x-10)/(x^2-16) is x<-4\lor-4<x<4\lor x>4