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

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

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

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

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

f (x) = x^{2} + 6 x + 5

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

f (x) = 9 x - 9

(x^{2} - 1) e^{- 2 x}

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