What is the domain of y=(x^3-16x)/(-4x^2+4x+24) ?

The domain of y=(x^3-16x)/(-4x^2+4x+24) is x 3

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domain of y=(x^3-16x)/(-4x^2+4x+24)

domain

y = \frac{x ^{3} - 16 x}{- 4 x ^{2} + 4 x + 24}

x < - 2 or - 2 < x < 3 or x > 3

Interval Notation

(- \infty, - 2) \cup (- 2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = 3

The function domain

x < - 2 or - 2 < x < 3 or x > 3

f (x) = \frac{( x ^{2} - 5 x - 6 )}{x + 1}

f (x) = x^{3} + 5 x^{2} - 16 x - 80

3 x + 5 y = 5

x^{2} - 25

What is the domain of y=(x^3-16x)/(-4x^2+4x+24) ?
The domain of y=(x^3-16x)/(-4x^2+4x+24) is x<-2\lor-2<x<3\lor x>3