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

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

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

domain

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - \frac{7}{3}

The function domain

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

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