What is the domain of f(x)=(5x-10)/(6x-4) ?

The domain of f(x)=(5x-10)/(6x-4) is x 2/3

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domain of f(x)=(5x-10)/(6x-4)

domain

f (x) = \frac{5 x - 10}{6 x - 4}

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}

2 x - 4 + 3

f (g) = \frac{2 x - 6}{x - 5}

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

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

\frac{x - 9}{x ^{2} - 12 x + 27}

What is the domain of f(x)=(5x-10)/(6x-4) ?
The domain of f(x)=(5x-10)/(6x-4) is x< 2/3 \lor x> 2/3