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.
Answer:
[tex]\mathrm{Inverse\:of}\:-x+2:\:\:2-x[/tex]
Step-by-step explanation:
Given the function
[tex]f(x)=-x+2[/tex]
- We know that a function h is the inverse function of f if for y=f(x), x=h(y)
Determining the inverse
[tex]y=-x+2[/tex]
Replace x with y
[tex]x=-y+2[/tex]
solve for y
[tex]y=2-x[/tex]
Therefore,
[tex]\mathrm{Inverse\:of}\:-x+2:\:\:2-x[/tex]
