What is the domain of (x+3)/(2x-1) ?

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

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domain of (x+3)/(2x-1)

domain

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

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}

y = lo g_{3} (x + 3)

f (x) = 5 x^{\frac{3}{5}} - \frac{3 x ^{2}}{5}

y = \frac{x ^{2} - x - 6}{x ^{2} - x - 2}

\frac{1}{( \frac{2}{x} + 5 ) - 8}

y = lo g_{5} (2 x + 3)

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