What is the domain of (2x)/(3x-8) ?

The domain of (2x)/(3x-8) is x 8/3

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domain of (2x)/(3x-8)

domain

\frac{2 x}{3 x - 8}

x < \frac{8}{3} or x > \frac{8}{3}

Interval Notation

(- \infty, \frac{8}{3}) \cup (\frac{8}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{8}{3}

The function domain

x < \frac{8}{3} or x > \frac{8}{3}

\frac{2 x}{3 x - 6}

f (x) = \frac{x + 1}{x ^{2} - 16}

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

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

f (x) = 2 x - 4, x < - 1

What is the domain of (2x)/(3x-8) ?
The domain of (2x)/(3x-8) is x< 8/3 \lor x> 8/3