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

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

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domain of (x+8)/((x-6)(x+8))

domain

\frac{x + 8}{( x - 6 ) ( x + 8 )}

x < - 8 or - 8 < x < 6 or x > 6

Interval Notation

(- \infty, - 8) \cup (- 8, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 8

The function domain

x < - 8 or - 8 < x < 6 or x > 6

lo g_{10} (x - x^{2})

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

\frac{11250 + 180 x ^{2}}{x}

f (x) = \frac{x - 8}{2 x + 7}

\frac{5}{3} x - 5

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