Answer:
[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]
Step-by-step explanation:
Given the function
[tex]\:g\left(n\right)\:=-n\:+\:2[/tex]
As we know that a function g is the inverse of function if for [tex]y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]
[tex]y=-n+2[/tex]
Replace n with y
[tex]n=-y+2[/tex]
Solve for y,
[tex]n=-y+2[/tex]
[tex]y=2-n[/tex]
Therefore,
[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]