What is the domain of y=(2x-1)/(6x^2-5x-6) ?

The domain of y=(2x-1)/(6x^2-5x-6) is x 3/2

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domain of y=(2x-1)/(6x^2-5x-6)

domain

y = \frac{2 x - 1}{6 x ^{2} - 5 x - 6}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

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

The function domain

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

f (x) = \frac{2 x}{2 x ^{3} + x ^{2} - 10 x}

f (x) = \frac{3 x + 6}{x ^{2} - x - 2}

f (x) = 10 - x + x^{2} - 9

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

\frac{- x + 1}{3 x + 6}

What is the domain of y=(2x-1)/(6x^2-5x-6) ?
The domain of y=(2x-1)/(6x^2-5x-6) is x<-2/3 \lor-2/3 <x< 3/2 \lor x> 3/2