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

The domain of f(x)= 2/(x^2+2x-24) is x 4

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

domain

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

x < - 6 or - 6 < x < 4 or x > 4

Interval Notation

(- \infty, - 6) \cup (- 6, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 6

The function domain

x < - 6 or - 6 < x < 4 or x > 4

\frac{( x ^{2} - 2 x )}{x ^{2} + x - 6}

f (x) = \frac{- 3 - 5 y}{3 y - 4}

f (x) = \frac{5 x + 18}{x ^{2} + 5 x - 6}

f (x) = \frac{4 x ^{2} + 23 x - 56}{x ^{2} - 4 x - 32}

y = \frac{5}{x ^{2} + x - 12}

What is the domain of f(x)= 2/(x^2+2x-24) ?
The domain of f(x)= 2/(x^2+2x-24) is x<-6\lor-6<x<4\lor x>4