What is the domain of (sqrt(2x))/(5x-6) ?

The domain of (sqrt(2x))/(5x-6) is 0 6/5

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domain of (sqrt(2x))/(5x-6)

domain

\frac{2 x}{5 x - 6}

0 \leq x < \frac{6}{5} or x > \frac{6}{5}

Interval Notation

[0, \frac{6}{5}) \cup (\frac{6}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = \frac{6}{5}

Combine real regions and undefined points for final function domain

0 \leq x < \frac{6}{5} or x > \frac{6}{5}

f (x) = x^{3} + 4

y - (- 4) = - 2 (x + 1)

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

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

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

What is the domain of (sqrt(2x))/(5x-6) ?
The domain of (sqrt(2x))/(5x-6) is 0<= x< 6/5 \lor x> 6/5