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

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}