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

The domain of (4/x)/(4/x+4) is x 0

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

domain

\frac{\frac{4}{x}}{\frac{4}{x} + 4}

x < - 1 or - 1 < x < 0 or x > 0

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = 0

The function domain

x < - 1 or - 1 < x < 0 or x > 0

f (x) = \frac{3}{( x - 1 ) ( x ^{2} - 4 )}

f (x) = \frac{( x ^{2} + x + 2 )}{x - 1}

\frac{2}{3 x + 9}

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

2 (x - 6)^{\frac{2}{3}} + 6

What is the domain of (4/x)/(4/x+4) ?
The domain of (4/x)/(4/x+4) is x<-1\lor-1<x<0\lor x>0