What is the domain of (5x-4)/(7x+3) ?

The domain of (5x-4)/(7x+3) is x -3/7

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domain of (5x-4)/(7x+3)

domain

\frac{5 x - 4}{7 x + 3}

x < - \frac{3}{7} or x > - \frac{3}{7}

Interval Notation

(- \infty, - \frac{3}{7}) \cup (- \frac{3}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{3}{7}

The function domain

x < - \frac{3}{7} or x > - \frac{3}{7}

What is the domain of (5x-4)/(7x+3) ?
The domain of (5x-4)/(7x+3) is x<-3/7 \lor x>-3/7