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

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

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

domain

f (x) = \frac{5}{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

f (x) = \frac{2}{3} x + 1 - 4

f (x) = \frac{( 5 x + 2 )}{x - 3}

2 y - 10 x = - 6

f (x) = \frac{10}{x ^{2} + 5}

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

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