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

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

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

domain

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

f (x) = \frac{3 x + 4}{( x + 4 ) ( x + 3 )}

f (x, y) = \frac{1}{x}

\frac{1}{2 x + 2}

f (x) = 3 - (x + 1)^{2}, - 3 < x \leq 1

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