What Val are restricted from the domain of

Question

asked Aug 15, 2021 33.7k views

1 Answer

Pradi KL · Answer 1 · 2021-08-21T15:32:51+0000

Given:

The given expression is
$(\left(4 x^(2)-4 x+1\right))/((2 x-1)^(2))$

We need to determine the values for which the domain is restricted.

Restricted values:

Let us determine the values restricted from the domain.

To determine the restricted values from the domain, let us set the denominator the function not equal to zero.

Thus, we have;

$(2x-1)^2\\eq 0$

Taking square root on both sides, we get;

$2x-1\\eq 0$

$2x\\eq 1$

$x\\eq (1)/(2)$

Thus, the restricted value from the domain is
$x\\eq (1)/(2)$

Hence, Option A is the correct answer.