Find the domain of the curve y=x/(2x-3)^2.

Given the curve y= x/
(2x-3)^2

The domain is all x values such that the function
is defined.

Since the function is a ratio, then the
denominator should NOT be zero.

Let us determine the zeros
of the denominator.

==> 2x-3 = 0 ==> 2x = 3
==> x = 3/2

Then the domain is all x values except
3/2.

==> The domain = R - { 3/2
}