What is the domain of f(x)=(10)/x (4-x) ?

The domain of f(x)=(10)/x (4-x) is x 0

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domain of f(x)=(10)/x (4-x)

domain

f (x) = \frac{10}{x} (4 - x)

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = 4 x + 16

f (x) = - 3 - x + 1

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

f (x) = \frac{x ^{2} + 3 x - 1}{4 x ^{2} - 3 x - 1}

arccos (e^{x - 1}) + π

What is the domain of f(x)=(10)/x (4-x) ?
The domain of f(x)=(10)/x (4-x) is x<0\lor x>0