Find the domain of the function f(x)=1/(x-2).

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Given the function f(x) = 1/(x-2).

We need to find the domain of f(x).

We know that the domain are all x values such that the function is defined.

Then, we will find the values in which f(x) is not defined.

Since f(x) is a fraction, then the denominator can not be zero.

==> x -2 = 0

==> x = 2

Then the function is not defined when x = 2.

Then the domain of f(x) is all real numbers except for 2.

==> The domain = R - { 2}

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