What is the domain of y= 7/(x(x-4)) ?

The domain of y= 7/(x(x-4)) is x 4

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domain of y= 7/(x(x-4))

domain

y = \frac{7}{x ( x - 4 )}

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 = 0, x = 4

The function domain

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

y = \frac{6 x - 2 - 3}{x ^{2} + 1}

ln (4 - 3 x - x^{2})

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

f (x) = x - 5 + 1

f (x) = ln (x^{2} - 5 x + 6)

What is the domain of y= 7/(x(x-4)) ?
The domain of y= 7/(x(x-4)) is x<0\lor 0<x<4\lor x>4