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

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

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

domain

\frac{3 x}{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) = x^{3} - 2 x^{2} + 5 x + 7

f (x) = - 3 x - 17

y = \frac{2}{\frac{7}{x + 1} + 3}

f (x) = \frac{2}{3 x ^{\frac{1}{3}}}

12000 x^{- 2} - 12 x

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