What is the domain of f(x)=(-1)/(x^2+2x-24) ?

The domain of f(x)=(-1)/(x^2+2x-24) is x 4

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domain of f(x)=(-1)/(x^2+2x-24)

domain

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

f (x) = 16 x - 5

f (x) = - 2 x^{2} + 16 x

f (x) = \frac{x}{∣ x + 4 ∣ - 10}

f (x) = \frac{( x - 5 )}{x}

f (x) = 2020 + 2 - x

What is the domain of f(x)=(-1)/(x^2+2x-24) ?
The domain of f(x)=(-1)/(x^2+2x-24) is x<-6\lor-6<x<4\lor x>4