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

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

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

domain

f (x) = \frac{x + 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

\frac{4 x - 8}{x ^{2} - 4 x + 4}

f (x) = - 7 x

lo g_{10} (x^{2} - x - 2)

f (x) = \frac{1}{3 x + 5}

f (x) = \frac{x + 1}{2 - x}

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