What is the domain of f(x)=(3x-6)/(x^2+5x-104) ?

The domain of f(x)=(3x-6)/(x^2+5x-104) is x 8

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domain of f(x)=(3x-6)/(x^2+5x-104)

domain

f (x) = \frac{3 x - 6}{x ^{2} + 5 x - 104}

x < - 13 or - 13 < x < 8 or x > 8

Interval Notation

(- \infty, - 13) \cup (- 13, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 13

The function domain

x < - 13 or - 13 < x < 8 or x > 8

f (x) = 7 x - 2

f (x) = - (\frac{1}{2})^{2} - x

y = \frac{4}{x ^{2} - 4}

f (x) = 600 \cdot e^{x} + 2022

y = \frac{x + 2}{x - 3}

What is the domain of f(x)=(3x-6)/(x^2+5x-104) ?
The domain of f(x)=(3x-6)/(x^2+5x-104) is x<-13\lor-13<x<8\lor x>8