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

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

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

domain

\frac{2 - x}{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

\frac{5}{7}

\frac{4 x}{x ^{2} + 4}

f (x) = \frac{47}{10 x - 15}

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

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

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