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}

(x^{2} - 2 x - 15) + (x + 3)

\frac{5 x - 7}{x ^{3} - 25 x}

x^{3} - 12 x^{2} + 48 x - 68

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

4 x^{2} - 72

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