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

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

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

domain

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

x < - 1 or x > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 4

Find undefined (singularity) points:

x = 4, x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or x > 4

f (x) = \frac{5}{3 x - 8}

- \frac{2}{3} (x - 4) - 2

\frac{x + 13}{x ^{4} + x ^{3} - 3 x ^{2} - 3 x}

f (x) = 7 x^{2} - 28 x - 35

f (x) = \frac{2 + 3 x}{1 - 4 x}

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