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

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

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

domain

f (x) = \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) = 20 - \frac{1}{2} x

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

f (x) = 24 x - 2328

20 x - 1740

\frac{x ^{2} + 7}{x + 3}

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