The inverse of the function (f(x) = 4x - 12) will be: [tex]\rm f^{-1}(x)=\dfrac{x}{4}+3[/tex] and it can be determine by replacing f(x) with y and than replacing x with y and y with x.
Given :
Function - f(x) = 4x - 12
To evaluate the inverse of function (f(x) = 4x - 12) the following steps can be use:
Step 1 - Replace, f(x) with y.
y = 4x - 12
Step 2 - Now, replace every x with y and every y with x in the given function.
x = 4y - 12
Step 3 - Now, solve for y.
[tex]\rm y = \dfrac{x}{4}+3[/tex]
Step 4 - Replace y with [tex]\rm f^{-1}(x)[/tex] in the above equation.
[tex]\rm f^{-1}(x)=\dfrac{x}{4}+3[/tex]
Therefore, the inverse of the function (f(x) = 4x - 12) will be: [tex]\rm f^{-1}(x)=\dfrac{x}{4}+3[/tex] .
For more information, refer the link given below
https://brainly.com/question/13715269
