What is the domain of (5x)/(-9x+6) ?

The domain of (5x)/(-9x+6) is x 2/3

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domain of (5x)/(-9x+6)

domain

\frac{5 x}{- 9 x + 6}

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) = - lo g_{10} (3 x - 4) + 4

y = (x - 3)^{2}

k (x) = 2 x^{2} - 3 x + 2

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

7 (7 x + 3) + 3

What is the domain of (5x)/(-9x+6) ?
The domain of (5x)/(-9x+6) is x< 2/3 \lor x> 2/3