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

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

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

domain

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

x < - \frac{2}{3} or x > - \frac{2}{3}

Interval Notation

(- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{2}{3}

The function domain

x < - \frac{2}{3} or x > - \frac{2}{3}

f (x) = \frac{x}{1 - 9 x}

2 sin (\frac{π}{2} x + 3)

\frac{x ^{2} + x - 56}{x ^{2} - 5 x - 14}

- \frac{1}{x + 6}

f (x) = sin (x) - ln (x)

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