The correct answer is option D.
The steps to find the inverse are listed below.
[tex]f(x)= \frac{2x}{7}+4 \\ \\
y= \frac{2x}{7}+4 \\ \\
y-4= \frac{2x}{7} \\ \\
7(y-4)=2x \\ \\
x= \frac{7(y-4)}{2} \\ \\
f^{-1}(y)= \frac{7(y-4)}{2} \\ \\
f^{-1}(x)= \frac{7(x-4)}{2} \\ \\ [/tex]
