Find the domain of the curve yx2x32SolutionGiven the curve y

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

Solution

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 }