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

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

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

domain

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

x < - \frac{4}{5} or x > - \frac{4}{5}

Interval Notation

(- \infty, - \frac{4}{5}) \cup (- \frac{4}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{4}{5}

The function domain

x < - \frac{4}{5} or x > - \frac{4}{5}

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