What is the domain of (4x-8)/((x(x-2))) ?

The domain of (4x-8)/((x(x-2))) is x 2

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domain of (4x-8)/((x(x-2)))

domain

\frac{4 x - 8}{( x ( x - 2 ) )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0, x = 2

The function domain

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

f (x) = e^{x} - x

f (x) = - x + 6

y^{2} = x + 144

5 cot (x)

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

What is the domain of (4x-8)/((x(x-2))) ?
The domain of (4x-8)/((x(x-2))) is x<0\lor 0<x<2\lor x>2