What is the domain of (4x-2)/(3x+1) ?

The domain of (4x-2)/(3x+1) is x -1/3

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domain of (4x-2)/(3x+1)

domain

\frac{4 x - 2}{3 x + 1}

x < - \frac{1}{3} or x > - \frac{1}{3}

Interval Notation

(- \infty, - \frac{1}{3}) \cup (- \frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{3}

The function domain

x < - \frac{1}{3} or x > - \frac{1}{3}

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

f (x) = \frac{- 4 x + 6}{8 + 3 x}

20 x

e^{- x} (x^{2} - 1)

f (x) = \frac{1}{4 x ^{2} - 5 x}

What is the domain of (4x-2)/(3x+1) ?
The domain of (4x-2)/(3x+1) is x<-1/3 \lor x>-1/3