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3. Find the inverse of the given function.
f(x) = - x-17 over 12

3 Find The Inverse Of The Given Function Fx X17 Over 12 class=

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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.

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