Respuesta :

Answer:

D

Step-by-step explanation:

Given the input - 1 [tex]\frac{1}{2}[/tex] = - [tex]\frac{3}{2}[/tex] , then

(- [tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] , then subtract 2

[tex]\frac{9}{4}[/tex] - 2 = [tex]\frac{9}{4}[/tex] - [tex]\frac{8}{4}[/tex] = [tex]\frac{1}{4}[/tex]

Then reciprocal which is 1 over the previous value

reciprocal = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4 ← output → D