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

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

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

domain

f (x) = \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

\frac{x}{5 + x ^{2}}

arccos (∣ x + 1 ∣)

f (x) = 3^{x - 3}

f (x) = x ∣ x + 3 ∣

y = x^{2} + 2 x + 3

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