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

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

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

domain

\frac{x ^{2} - 4}{4 x ^{2} - 8 x}

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 = 2, x = 0

The function domain

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

y = \frac{x ^{2}}{2 x ^{2} + 2}

f (x) = lo g_{3} (\frac{1}{2})

f (x) = \frac{x + 8}{x ^{3 - 4 x}}

f (x) = \frac{22}{8 x - 15}

f (x) = - x^{2} + 10 x - 24

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