What is the domain of f(x)=(x-1)/(x^2-3x-4) ?

The domain of f(x)=(x-1)/(x^2-3x-4) is x 4

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domain of f(x)=(x-1)/(x^2-3x-4)

domain

f (x) = \frac{x - 1}{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) = ln (x) + 6

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

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

f (x) = x^{2} + 6 x + 5

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

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