What is the domain of (2x+6)/(-6x+3) ?

The domain of (2x+6)/(-6x+3) is x 1/2

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domain of (2x+6)/(-6x+3)

domain

\frac{2 x + 6}{- 6 x + 3}

x < \frac{1}{2} or x > \frac{1}{2}

Interval Notation

(- \infty, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}

The function domain

x < \frac{1}{2} or x > \frac{1}{2}

f (x) = lo g_{10} (9 - x)

\frac{1}{x ^{2} - 25}

x^{4} + 4

y = \frac{( x + 2 )}{( x - 2 )} - \frac{1}{x + 3}

What is the domain of (2x+6)/(-6x+3) ?
The domain of (2x+6)/(-6x+3) is x< 1/2 \lor x> 1/2