12. Function $f(x): f(x)=-2 x+4$ Inverse $f^{-1}(x)$ :
13.

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Answer

$\boxed{f^{-1}(x) = 2 - \frac{x}{2}}$ is the final answer

Steps

Step 1 ：Given the function $f(x) = -2x + 4$

Step 2 ：To find the inverse of the function, we switch the x and y in the original function, resulting in $x = -2y + 4$

Step 3 ：Solving for y, we get $y = 2 - \frac{x}{2}$

Step 4 ：Thus, the inverse function of $f(x) = -2x + 4$ is $f^{-1}(x) = 2 - \frac{x}{2}$

Step 5 ：$\boxed{f^{-1}(x) = 2 - \frac{x}{2}}$ is the final answer