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}

s l o p e 4 (x - 3) = 3 y + 4

d i s t an ce (- 9, - 1), (- 2, - 6)

e x t re m e - 4 x^{2} + 25

r an g e f (x) = \frac{2 x ^{2}}{x ^{2} - 9}

d o main f (x) = (x - 7)^{2}

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