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

The domain of (7/x)/(7/x+1) is x 0

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

domain

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

x < - 7 or - 7 < x < 0 or x > 0

Interval Notation

(- \infty, - 7) \cup (- 7, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - 7, x = 0

The function domain

x < - 7 or - 7 < x < 0 or x > 0

f (x) = 16 - (x - 2)^{2}

(4, - 2), (0, 2)

(7, - 4), (- 2, - 7)

f (x) = x^{3} - 7 x^{2} - 24 x + 7

G

What is the domain of (7/x)/(7/x+1) ?
The domain of (7/x)/(7/x+1) is x<-7\lor-7<x<0\lor x>0