What is the domain of g(x)= 6/(x^2-4x) ?

The domain of g(x)= 6/(x^2-4x) is x 4

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domain of g(x)= 6/(x^2-4x)

domain

g (x) = \frac{6}{x ^{2} - 4 x}

x < 0 or 0 < x < 4 or x > 4

Interval Notation

(- \infty, 0) \cup (0, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 0

The function domain

x < 0 or 0 < x < 4 or x > 4

f (x) = x^{3} - x^{2} - x + 1

2 x + 4 - 3

lo g_{10} (2 x) - 12

f (x) = 7

f (x) = (x + 1)^{2} (x - 2) (x - 3)

What is the domain of g(x)= 6/(x^2-4x) ?
The domain of g(x)= 6/(x^2-4x) is x<0\lor 0<x<4\lor x>4