What is the domain of (2x^2+x-1)/(3x^2-11x-4) ?

The domain of (2x^2+x-1)/(3x^2-11x-4) is x 4

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domain of (2x^2+x-1)/(3x^2-11x-4)

domain

\frac{2 x ^{2} + x - 1}{3 x ^{2} - 11 x - 4}

x < - \frac{1}{3} or - \frac{1}{3} < x < 4 or x > 4

Interval Notation

(- \infty, - \frac{1}{3}) \cup (- \frac{1}{3}, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - \frac{1}{3}

The function domain

x < - \frac{1}{3} or - \frac{1}{3} < x < 4 or x > 4

What is the domain of (2x^2+x-1)/(3x^2-11x-4) ?
The domain of (2x^2+x-1)/(3x^2-11x-4) is x<-1/3 \lor-1/3 <x<4\lor x>4