What is the domain of f(x)=(x-3)/(x^2-5x) ?

The domain of f(x)=(x-3)/(x^2-5x) is x 5

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domain of f(x)=(x-3)/(x^2-5x)

domain

f (x) = \frac{x - 3}{x ^{2} - 5 x}

x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 0

The function domain

x < 0 or 0 < x < 5 or x > 5

y = a x + 1

(7, 1), (- 16, - 16)

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

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

f (x) = \frac{x}{6 x ^{2} + 5 x - 1}

What is the domain of f(x)=(x-3)/(x^2-5x) ?
The domain of f(x)=(x-3)/(x^2-5x) is x<0\lor 0<x<5\lor x>5