Answer:
Option B is the correct answer.
Step-by-step explanation:
[tex]\texttt{We have }f(x)=y=\frac{2x+12}{5}[/tex]
Finding inverse,
[tex]y=\frac{2x+12}{5}\\\\5y=2x+12\\\\2x=5y-12\\\\x=\frac{5y-12}{2}\\\\f^{-1}(x)=\frac{5x-12}{2}=\frac{5}{2}x-6[/tex]
Option B is the correct answer.
