What is the domain of f(x)=(2x+1)/(3x-2) ?

The domain of f(x)=(2x+1)/(3x-2) is x 2/3

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domain of f(x)=(2x+1)/(3x-2)

domain

f (x) = \frac{2 x + 1}{3 x - 2}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{2}{3}

The function domain

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

f (x) = \frac{3 x}{x ^{2} - 20 x + 12}

y - 7 = - 3 (x + 5)

\frac{e ^{x}}{1 + 9 e ^{x}}

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

(3, - 5), (- 8, - 5)

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