What is the domain of y=(x-4)/(x^2-2x-3) ?

The domain of y=(x-4)/(x^2-2x-3) is x 3

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domain of y=(x-4)/(x^2-2x-3)

domain

y = \frac{x - 4}{x ^{2} - 2 x - 3}

x < - 1 or - 1 < x < 3 or x > 3

Interval Notation

(- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 1

The function domain

x < - 1 or - 1 < x < 3 or x > 3

y = ln (x + 3)

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

f (x) = 3 - \frac{1}{2} x

3 x + 4

f (x) = \frac{8 x}{x - 9}

What is the domain of y=(x-4)/(x^2-2x-3) ?
The domain of y=(x-4)/(x^2-2x-3) is x<-1\lor-1<x<3\lor x>3