What is the domain of (3x+2)/(9x-4) ?

The domain of (3x+2)/(9x-4) is x 4/9

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domain of (3x+2)/(9x-4)

domain

\frac{3 x + 2}{9 x - 4}

x < \frac{4}{9} or x > \frac{4}{9}

Interval Notation

(- \infty, \frac{4}{9}) \cup (\frac{4}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{4}{9}

The function domain

x < \frac{4}{9} or x > \frac{4}{9}

f (x) = x^{2} + 6 x - 16

\frac{x ^{2} + 3 x}{x ^{2} - x}

f (x) = x^{2} - 36

(- 3, 2), (2, 1)

f (x) = - x^{3} + 6 x^{2} - 15

What is the domain of (3x+2)/(9x-4) ?
The domain of (3x+2)/(9x-4) is x< 4/9 \lor x> 4/9