Need help fast, with steps

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