Question

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

Answer 1

Given :-

• A function f(x) = - (x -17)/12

To Find :-

• The inverse of the function .

Solution :-

The given function is ,

$\longrightarrow$ f(x) = -(x-17)/12

Replace y with f(x) ,

$\longrightarrow$ y = -(x-17)/12

Interchange x and y ,

$\longrightarrow$ x = -(y-17)/12

Solve for y ,

$\longrightarrow$ 12x = -y +17

$\longrightarrow$ y = -12x +17

Replace y with f-¹(x) ,

$\longrightarrow\sf \ f^{-1}(x)= -12x +17$

Hence the required answer is -12x +17.