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

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

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

domain

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

x^{2} - 5 x - 14

f (x) = \frac{x - 3}{x - 7}

2 x^{2} - 5 x + 3

\frac{x}{x ^{2} + 4 x}

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

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