What is the domain of f(x)=(x+3)/(x-5) ?

The domain of f(x)=(x+3)/(x-5) is x 5

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domain of f(x)=(x+3)/(x-5)

domain

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

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

f (x) = \frac{3}{x ^{2} - 2 x - 15}

\frac{1}{x}

f (x) = x^{2} + 12 x - 36

f (x) = \frac{5}{x - 3}

f (x) = 2 x^{2} + 12 x - 13

What is the domain of f(x)=(x+3)/(x-5) ?
The domain of f(x)=(x+3)/(x-5) is x<5\lor x>5