The inverse of the function f(x)=2x+8 is [tex]\mathbf{y = \dfrac{1}{2x}- 4}[/tex]
The inverse of the function is produced and achieved by reversing the process of the function. To achieve the inverse function of f(x), we need to switch the function's variables x and y and express it in terms of y.
GIven that:
The inverse can now be expressed as:
- y = 2x + 8
- x = 2y + 8
- 2y = x - 8
Divide through by (2)
- [tex]\mathbf{y = \dfrac{1}{2x}- 4}[/tex]
Therefore, we can conclude that the inverse of the function f(x)=2x+8 is [tex]\mathbf{y = \dfrac{1}{2x}- 4}[/tex]
Learn more about the inverse of a function here:
https://brainly.com/question/10300045?referrer=searchResults
