What is the domain of f(x)=(x-8)/(x^2+10x-24) ?

The domain of f(x)=(x-8)/(x^2+10x-24) is x 2

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domain of f(x)=(x-8)/(x^2+10x-24)

domain

f (x) = \frac{x - 8}{x ^{2} + 10 x - 24}

x < - 12 or - 12 < x < 2 or x > 2

Interval Notation

(- \infty, - 12) \cup (- 12, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 12

The function domain

x < - 12 or - 12 < x < 2 or x > 2

f (x) = x^{4} - 1

f (x) = sin (x) + \frac{1}{2}

y = sin (e^{- t})

f (x) = \frac{1}{x - 81}

f (x) = 2 x^{3} - 6 x^{2} + 4

What is the domain of f(x)=(x-8)/(x^2+10x-24) ?
The domain of f(x)=(x-8)/(x^2+10x-24) is x<-12\lor-12<x<2\lor x>2