What is the domain of (3-8x)/(4+7x) ?

The domain of (3-8x)/(4+7x) is x -4/7

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domain of (3-8x)/(4+7x)

domain

\frac{3 - 8 x}{4 + 7 x}

x < - \frac{4}{7} or x > - \frac{4}{7}

Interval Notation

(- \infty, - \frac{4}{7}) \cup (- \frac{4}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{4}{7}

The function domain

x < - \frac{4}{7} or x > - \frac{4}{7}

What is the domain of (3-8x)/(4+7x) ?
The domain of (3-8x)/(4+7x) is x<-4/7 \lor x>-4/7