Step-by-step explanation:
The given fraction is as follows.
[tex]\frac{4x^{2}+1}{4x+2}[/tex]
It is known that rational expressions are undefined when the denomination is equal to zero.
Therefore, putting the denominator equal to zero as follows.
4x + 2 = 0
4x = -2
Solve for x as follows.
x = [tex]\frac{-2}{4}[/tex]
therefore, x = [tex]\frac{-1}{2}[/tex]
Thus, exclusion placed on the variable x for the fraction [tex]\frac{4x^{2}+1}{4x+2}[/tex] is [tex]\frac{-1}{2}[/tex].
