What is the domain of f(x)=(2x)/(3x^2-13x-10) ?

The domain of f(x)=(2x)/(3x^2-13x-10) is x 5

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domain of f(x)=(2x)/(3x^2-13x-10)

domain

x < - \frac{2}{3} or - \frac{2}{3} < x < 5 or x > 5

Interval Notation

(- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - \frac{2}{3}

The function domain

x < - \frac{2}{3} or - \frac{2}{3} < x < 5 or x > 5

What is the domain of f(x)=(2x)/(3x^2-13x-10) ?
The domain of f(x)=(2x)/(3x^2-13x-10) is x<-2/3 \lor-2/3 <x<5\lor x>5