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

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

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

domain

f (x) = \frac{4 x + 2}{x ^{2} - 4 x - 32}

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

Solution steps

Find undefined (singularity) points:

x = 8, x = - 4

The function domain

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

\frac{x}{x ^{2} - 16}

(4.9) (4.1)

x = 6 y - 7

f (x) = \frac{x + 2}{x ^{2} - 3 x - 10}

9 x - y = 36

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