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

The domain of (y+2)/(2y+1) is y -1/2

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domain of (y+2)/(2y+1)

domain

\frac{y + 2}{2 y + 1}

y < - \frac{1}{2} or y > - \frac{1}{2}

Interval Notation

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

Solution steps

Find undefined (singularity) points:

y = - \frac{1}{2}

The function domain

y < - \frac{1}{2} or y > - \frac{1}{2}

- sin (2 x)

\frac{7 x - 1}{4}

x^{4} + 7

x^{4} + 2

\frac{5}{x + 15 - 2}

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