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

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

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

domain

f (x) = \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

\frac{2}{9 x}

\frac{x - 4}{5 x - 3}

f (x) = - 0.5 x^{2} + 40 x - 300

f (x) = \frac{2}{∣ x - 2 ∣ - 1}

\frac{1}{( 25 ) ^{x} + 4 ( 5 ^{x} ) - 1}

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