What is the domain of ((x^2+1))/(x^2-3x) ?

The domain of ((x^2+1))/(x^2-3x) is x 3

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domain of ((x^2+1))/(x^2-3x)

domain

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

x < 0 or 0 < x < 3 or x > 3

Interval Notation

(- \infty, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 0

The function domain

x < 0 or 0 < x < 3 or x > 3

f (x) = \frac{1}{( \frac{1}{x} )}

y = 5 x - 15

- \frac{1}{7} (x - 3)^{2} + 2

f (x) = 10 - 2 x + 3 x - 1

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

What is the domain of ((x^2+1))/(x^2-3x) ?
The domain of ((x^2+1))/(x^2-3x) is x<0\lor 0<x<3\lor x>3