What is the domain of f(x)= 5/(x-2) ?

The domain of f(x)= 5/(x-2) is x 2

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domain of f(x)= 5/(x-2)

domain

f (x) = \frac{5}{x - 2}

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

x = 0

\frac{6 x + 7}{x + 6}

f (x) = 2 + x + 3

f (x) = 4

f (x) = 7 - x

What is the domain of f(x)= 5/(x-2) ?
The domain of f(x)= 5/(x-2) is x<2\lor x>2