What is the domain of f(x)=(x+8)/(x^2+5x-24) ?

The domain of f(x)=(x+8)/(x^2+5x-24) is x 3

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domain of f(x)=(x+8)/(x^2+5x-24)

domain

f (x) = \frac{x + 8}{x ^{2} + 5 x - 24}

x < - 8 or - 8 < x < 3 or x > 3

Interval Notation

(- \infty, - 8) \cup (- 8, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 8

The function domain

x < - 8 or - 8 < x < 3 or x > 3

\frac{4 x - 8}{( x - 4 ) ( x + 1 )}

f (x) = 5 x - 12

\frac{2 x ( x - 1 ) ^{2}}{( x + 1 ) ^{3}}

f (x) = \frac{( x + 8 )}{( x - 4 )}

f (x) = \frac{1}{x - 2}

What is the domain of f(x)=(x+8)/(x^2+5x-24) ?
The domain of f(x)=(x+8)/(x^2+5x-24) is x<-8\lor-8<x<3\lor x>3