What is the domain of (4x-1)/(3x+5) ?

The domain of (4x-1)/(3x+5) is x -5/3

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domain of (4x-1)/(3x+5)

domain

\frac{4 x - 1}{3 x + 5}

x < - \frac{5}{3} or x > - \frac{5}{3}

Interval Notation

(- \infty, - \frac{5}{3}) \cup (- \frac{5}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{3}

The function domain

x < - \frac{5}{3} or x > - \frac{5}{3}

What is the domain of (4x-1)/(3x+5) ?
The domain of (4x-1)/(3x+5) is x<-5/3 \lor x>-5/3