What is the domain of (-x^2+6)/(x^2+4x-32) ?

The domain of (-x^2+6)/(x^2+4x-32) is x 4

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domain of (-x^2+6)/(x^2+4x-32)

domain

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

y = 3 x^{2} - 6

f (x) = 3 x + 2, x \geq 0

y = 9 x - 44 x + 2

y = 5 - 2 x

x^{3} \cdot e^{- x}

What is the domain of (-x^2+6)/(x^2+4x-32) ?
The domain of (-x^2+6)/(x^2+4x-32) is x<-8\lor-8<x<4\lor x>4