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

a sy m pt o t es \frac{x - 4}{- 4 x - 16}

e x t re m e \frac{x}{x ^{2} + 6 x + 5}

r an g e f (x) = - 3^{x}

p a r i t y f (x) = c^{x}

d o main f (x) = \frac{2 x}{12 - x ^{2} - 25}

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