Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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=

Sagot :

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.