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

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

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

domain

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

x < 5 or x > 5

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

f (x) = - x^{3} + 12 x^{2} - 45 x + 2

f (x) = 2 - 4 x

(2, 5), (4, - 7)

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

f (x) = \frac{- 4 x - 6}{3 x - 2}

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