What is the domain of f(x)=(2x+6)/((x-8)(x+8)) ?

The domain of f(x)=(2x+6)/((x-8)(x+8)) is x 8

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domain of f(x)=(2x+6)/((x-8)(x+8))

domain

f (x) = \frac{2 x + 6}{( x - 8 ) ( x + 8 )}

x < - 8 or - 8 < x < 8 or x > 8

Interval Notation

(- \infty, - 8) \cup (- 8, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 8

The function domain

x < - 8 or - 8 < x < 8 or x > 8

y 0

8 - 4 x

x + x - 12

f (x) = - \frac{x - 3}{2 x}

f (x) = 10 x + 700

What is the domain of f(x)=(2x+6)/((x-8)(x+8)) ?
The domain of f(x)=(2x+6)/((x-8)(x+8)) is x<-8\lor-8<x<8\lor x>8