What is the domain of (4x+8)/(x^2+4x-32) ?

The domain of (4x+8)/(x^2+4x-32) is x 4

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domain of (4x+8)/(x^2+4x-32)

domain

\frac{4 x + 8}{x ^{2} + 4 x - 32}

x < - 8 or - 8 < x < 4 or x > 4

Interval Notation

(- \infty, - 8) \cup (- 8, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 8

The function domain

x < - 8 or - 8 < x < 4 or x > 4

5 x + 7 x - 2

m = \frac{18}{7}, (- 6, - 3)

\frac{x - 1}{x + 1}

(- 3, 3), (5, 9)

\frac{2 x}{16 x ^{2} + 1}

What is the domain of (4x+8)/(x^2+4x-32) ?
The domain of (4x+8)/(x^2+4x-32) is x<-8\lor-8<x<4\lor x>4