What is the domain of f(x)=((x-2))/(x-(4/x)) ?

The domain of f(x)=((x-2))/(x-(4/x)) is x 2

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domain of f(x)=((x-2))/(x-(4/x))

domain

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

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2, x = 0

The function domain

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

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

f (x) = \frac{( 4 x - 9 )}{( x - 4 )}

3 x - 4

\frac{1}{x} + 1

f (x) = x - 4 y - 11 = 0

What is the domain of f(x)=((x-2))/(x-(4/x)) ?
The domain of f(x)=((x-2))/(x-(4/x)) is x<-2\lor-2<x<0\lor 0<x<2\lor x>2