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

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

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domain of f(x)= x/(x-3)

domain

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

x < 3 or x > 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

\frac{1}{( x - 2 ) ( x + 5 )}

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

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

\frac{3}{4} x + 7

y = \frac{( - 3 x - 7 )}{( x - 1 )}

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