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

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

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

domain

f (x) = \frac{3 x - 4}{x ^{2} - 3 x - 4}

x < - 1 or - 1 < x < 4 or x > 4

Interval Notation

(- \infty, - 1) \cup (- 1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 1

The function domain

x < - 1 or - 1 < x < 4 or x > 4

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

f (x) = t - 1

- \frac{8}{x}

f (x) = x^{3} + 8

f (x) = x^{3} + 5

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