What is the domain of (4x)/(1+7x) ?

The domain of (4x)/(1+7x) is x -1/7

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domain of (4x)/(1+7x)

domain

\frac{4 x}{1 + 7 x}

x < - \frac{1}{7} or x > - \frac{1}{7}

Interval Notation

(- \infty, - \frac{1}{7}) \cup (- \frac{1}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{7}

The function domain

x < - \frac{1}{7} or x > - \frac{1}{7}

f (x) = x^{2} + 2 x - 5

g (x) = x + 18

\frac{x + 2}{x - 2}

2 x^{3} - 4 x^{2} + 8 x + 3

f (x) = (x + 4) (x + 5) (x + 8)

What is the domain of (4x)/(1+7x) ?
The domain of (4x)/(1+7x) is x<-1/7 \lor x>-1/7