Note: Your statement and answer options are a little ambiguous, so I am assuming you want to determine the inverse of f(x)=-x+2.
As the process is the same, so it would still clear your concept.
![\mathrm{Inverse\:of}\:-x+2:\:\:2-x](/tpl/images/0921/9324/003d6.png)
Step-by-step explanation:
Given the function
![f(x)=-x+2](/tpl/images/0921/9324/ac83d.png)
We know that a function h is the inverse function of f if for y=f(x), x=h(y)
Determining the inverse
![y=-x+2](/tpl/images/0921/9324/0ce42.png)
Replace x with y
![x=-y+2](/tpl/images/0921/9324/45168.png)
solve for y
![y=2-x](/tpl/images/0921/9324/6592a.png)
Therefore,
![\mathrm{Inverse\:of}\:-x+2:\:\:2-x](/tpl/images/0921/9324/003d6.png)