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

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

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

domain

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

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

in f l ec t i o n f (x) = 3 x^{3} - 4 x

e x t re m e f (x) = 12 x^{3} - 24 x^{2}

in v erse g (x) = \frac{x}{x - 1}

a sy m pt o t es \frac{x ^{2} + 4 x - 5}{x ^{2} - 25}

d o main f (x) = \frac{x ^{2} - 5}{x - 5}

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