What is the domain of (2x+5)/(3x^2-10x-8) ?

The domain of (2x+5)/(3x^2-10x-8) is x 4

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domain of (2x+5)/(3x^2-10x-8)

domain

\frac{2 x + 5}{3 x ^{2} - 10 x - 8}

x < - \frac{2}{3} or - \frac{2}{3} < x < 4 or x > 4

Interval Notation

(- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - \frac{2}{3}

The function domain

x < - \frac{2}{3} or - \frac{2}{3} < x < 4 or x > 4

f (x) = \frac{1 - x}{x ^{2} - 5 x + 4}

f (x) = \frac{4 x - 9}{x ^{2} - 4}

f (x) = - 2 (x + 2) (x - 3) (x - 1)

y = sin (2 x)

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

What is the domain of (2x+5)/(3x^2-10x-8) ?
The domain of (2x+5)/(3x^2-10x-8) is x<-2/3 \lor-2/3 <x<4\lor x>4