What is the domain of (5x+3)/(2x-1) ?

The domain of (5x+3)/(2x-1) is x 1/2

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domain of (5x+3)/(2x-1)

domain

\frac{5 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}

f (x) = 6 x - x^{3}

f (x) = 2 x^{2} + x + 6, - 3 \leq x < 8

x^{2} + 6

f (x) = (x^{2} + x) \cdot (x^{2} - 1)^{- 1}

f (x) = \frac{5 x - 2}{7 x + 14}

What is the domain of (5x+3)/(2x-1) ?
The domain of (5x+3)/(2x-1) is x< 1/2 \lor x> 1/2