i need the answer to the image attached

Answer:
D
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{8}{x}[/tex] ( multiply both sides by x )
xy = 8 ( divide both sides by y )
x = [tex]\frac{8}{y}[/tex]
Change y back into terms of x
[tex]f^{-1}[/tex] (x) = [tex]\frac{8}{x}[/tex] ← with restriction x ≠ 0 → D