What is the domain of f(x)=ln(x(x-2)) ?

The domain of f(x)=ln(x(x-2)) is x 2

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domain of f(x)=ln(x(x-2))

domain

f (x) = ln (x (x - 2))

x < 0 or x > 2

Interval Notation

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

Solution steps

Find positive values for logs:

x < 0 or x > 2

The function domain

x < 0 or x > 2

y = - 6 x + 3, (- 6, 7)

\frac{1}{1 + x}

f (x) = x^{2} - 4 x + 7

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

f (x) = ln (3 x + 1)

What is the domain of f(x)=ln(x(x-2)) ?
The domain of f(x)=ln(x(x-2)) is x<0\lor x>2