What is the domain of (x-2)/(3x+7) ?

The domain of (x-2)/(3x+7) is x -7/3

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domain of (x-2)/(3x+7)

domain

\frac{x - 2}{3 x + 7}

x < - \frac{7}{3} or x > - \frac{7}{3}

Interval Notation

(- \infty, - \frac{7}{3}) \cup (- \frac{7}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{7}{3}

The function domain

x < - \frac{7}{3} or x > - \frac{7}{3}

f (x) = - 9 x + 2

4 (x - 3) = 3 y + 4

y = 36 - x^{2} y = 8 - x

(- 9, - 1), (- 2, - 6)

- 4 x^{2} + 25

What is the domain of (x-2)/(3x+7) ?
The domain of (x-2)/(3x+7) is x<-7/3 \lor x>-7/3