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

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

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domain of f(x)=(x-3)/(3x+2)

domain

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

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) = 2 - 0.4 x

f (x) = \frac{3 x - 5}{x}

f (x) = \frac{x}{x ^{3} + 8}

f (x) = \frac{6 x - 2 - 3}{x ^{2} + 1}

f (x) = \frac{7}{7 x}

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