What is the domain of f(x)=(2x-11)/(2x-6) ?

The domain of f(x)=(2x-11)/(2x-6) is x 3

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domain of f(x)=(2x-11)/(2x-6)

domain

f (x) = \frac{2 x - 11}{2 x - 6}

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

f (x) = \frac{x ^{3} - 2 x + 4}{x - 3}

3 x - 3

f (x) = \frac{1}{x ( x + 4 )}

f (x) = \frac{x ^{2}}{x ^{2} - 3 x - 10}

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

What is the domain of f(x)=(2x-11)/(2x-6) ?
The domain of f(x)=(2x-11)/(2x-6) is x<3\lor x>3