What is the domain of (2x)/(5x-9) ?

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

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domain of (2x)/(5x-9)

domain

\frac{2 x}{5 x - 9}

x < \frac{9}{5} or x > \frac{9}{5}

Interval Notation

(- \infty, \frac{9}{5}) \cup (\frac{9}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{9}{5}

The function domain

x < \frac{9}{5} or x > \frac{9}{5}

6 - ∣ x ∣

\frac{1}{( x ( 3 - x ^{2} ) )}

f (x) = \frac{( \frac{x}{x - 7} )}{( \frac{x}{x + 7} )}

f (x) = 10 \frac{1}{x}

f (x) = 2 (3^{x}) - 4

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