Given :-
- A function f(x) = - (x -17)/12
To Find :-
- The inverse of the function .
Solution :-
The given function is ,
[tex]\longrightarrow[/tex] f(x) = -(x-17)/12
Replace y with f(x) ,
[tex]\longrightarrow[/tex] y = -(x-17)/12
Interchange x and y ,
[tex]\longrightarrow[/tex] x = -(y-17)/12
Solve for y ,
[tex]\longrightarrow[/tex] 12x = -y +17
[tex]\longrightarrow[/tex] y = -12x +17
Replace y with f-¹(x) ,
[tex]\longrightarrow\sf \ f^{-1}(x)= -12x +17[/tex]
Hence the required answer is -12x +17.
