What is the domain of 3/((4/x)+1) ?

The domain of 3/((4/x)+1) is x 0

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domain of 3/((4/x)+1)

domain

\frac{3}{( \frac{4}{x} ) + 1}

x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4, x = 0

The function domain

x < - 4 or - 4 < x < 0 or x > 0

\frac{4 x + 4}{2 x + 8}

\frac{1}{1 + sin ( x )}

f (x) = 2 x^{2} - 6 x + 4

lo g_{4} (x - 3) + lo g_{4} (x + 1)

x (x - 2)

What is the domain of 3/((4/x)+1) ?
The domain of 3/((4/x)+1) is x<-4\lor-4<x<0\lor x>0