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

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

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

domain

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

y = 2 x - 3

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

- \frac{13}{( 4 + x ) ^{2}}

\frac{7 x}{8 x - 1}

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

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