What is the domain of f(x)=(x(x-5)^2)/(x-5) ?

The domain of f(x)=(x(x-5)^2)/(x-5) is x 5

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domain of f(x)=(x(x-5)^2)/(x-5)

domain

f (x) = \frac{x ( x - 5 ) ^{2}}{x - 5}

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

f (x) = \frac{x - 4}{x ^{2} + 9}

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

\frac{2 x + 3}{3 x - 4}

f (x) = \frac{x - 4}{x + 7}

2 + ln (x)

What is the domain of f(x)=(x(x-5)^2)/(x-5) ?
The domain of f(x)=(x(x-5)^2)/(x-5) is x<5\lor x>5