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

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

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

domain

f (x) = \frac{3}{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

3 x - y = - 2

\frac{x - 4}{- 4 x - 16}

\frac{x}{x ^{2} + 6 x + 5}

f (x) = 2 - 2 x

f (x) = - 3^{x}

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