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

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

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

domain

\frac{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}

3 y = 9 - 6 x

y = (x^{2} - 4 x)^{2}

f (x) = - 1.25 x^{2} + 50 x + 4000

\frac{x + 1}{x - 3}

f (x) = 5 - 12 x

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