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

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

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

domain

\frac{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 x ^{2} + 5 x - 3}

y = 4 x - 1

f (x) = x^{2} - 5 x + 7

- \frac{1 - 3 x}{x - 1}

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

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