What is the domain of ((6+x)(3+x))/(-3-4x) ?

The domain of ((6+x)(3+x))/(-3-4x) is x -3/4

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domain of ((6+x)(3+x))/(-3-4x)

domain

\frac{( 6 + x ) ( 3 + x )}{- 3 - 4 x}

x < - \frac{3}{4} or x > - \frac{3}{4}

Interval Notation

(- \infty, - \frac{3}{4}) \cup (- \frac{3}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{3}{4}

The function domain

x < - \frac{3}{4} or x > - \frac{3}{4}

What is the domain of ((6+x)(3+x))/(-3-4x) ?
The domain of ((6+x)(3+x))/(-3-4x) is x<-3/4 \lor x>-3/4