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

\frac{x ( x + 4 )}{- 3 x - 7}

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}

\frac{( x + a ^{2} - a )}{x}

e^{x} (2 x + 1)

c^{4} + 8 c^{3} - 3 c^{2} - 7 c

f (x) = x^{13} - 26

6 x^{3} + x^{2} - x

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