What is the domain of y=(x-8)/((x-3)(x+5)) ?

The domain of y=(x-8)/((x-3)(x+5)) is x 3

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domain of y=(x-8)/((x-3)(x+5))

domain

y = \frac{x - 8}{( x - 3 ) ( x + 5 )}

x < - 5 or - 5 < x < 3 or x > 3

Interval Notation

(- \infty, - 5) \cup (- 5, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 5

The function domain

x < - 5 or - 5 < x < 3 or x > 3

f (x) = 1 - sin (2 x)

ln (x + 3)

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

ln (\frac{x - 9}{x - 7})

f (x) = 3 + 5 + 7 x

What is the domain of y=(x-8)/((x-3)(x+5)) ?
The domain of y=(x-8)/((x-3)(x+5)) is x<-5\lor-5<x<3\lor x>3