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

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

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

domain

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

f (t) = arcsin (2 t - 3)

y = 1 - 15 - 2 x - x^{2}

\frac{2 - 3 x}{x + 1}

y = 3 sin (2 x + 4) - 2

ln (1 + x)

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