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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.