What is the domain of (5/x)/(5/x+2) ?

The domain of (5/x)/(5/x+2) is x 0

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domain of (5/x)/(5/x+2)

domain

\frac{\frac{5}{x}}{\frac{5}{x} + 2}

x < - \frac{5}{2} or - \frac{5}{2} < x < 0 or x > 0

Interval Notation

(- \infty, - \frac{5}{2}) \cup (- \frac{5}{2}, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{2}, x = 0

The function domain

x < - \frac{5}{2} or - \frac{5}{2} < x < 0 or x > 0

ln (x) + ln (9 - x)

ln (x^{2} + 2 x - 15) + e^{5 - 4 x}

f (x) = 2^{(x + 1)} + 1

\frac{2}{x - 2}

f (x) = lo g_{e} (x + 2)

What is the domain of (5/x)/(5/x+2) ?
The domain of (5/x)/(5/x+2) is x<-5/2 \lor-5/2 <x<0\lor x>0