Let's begin by identifying key information given to us:
[tex]\begin{gathered} f\mleft(x\mright)=2x+5 \\ f(x)=y \\ \Rightarrow y=2x+5 \\ y=2x+5 \\ We\text{ will substutute ''x'' for ''y'', we have:} \\ y=2x+5\Rightarrow x=2y+5 \\ x=2y+5 \\ \text{Make ''y'' the subject of the equation, we have:} \\ 2y=x-5 \\ y=\frac{1}{2}x-\frac{5}{2}\Rightarrow y=\frac{x-5}{2} \\ y=f^{-1}(x) \\ \Rightarrow f^{-1}(x)=\frac{x-5}{2} \\ \\ \therefore f^{-1}(x)=\frac{x-5}{2} \end{gathered}[/tex]
Therefore, the correct answer is B (x - 5)/2
