Answer: [tex]h(x)=x-2[/tex]
Step-by-step explanation:
To find the inverse of the function [tex]f(x) = x + 2[/tex], the first step is to replace f(x) with "y":
[tex]f(x) =y= x + 2\\\\ y = x + 2[/tex]
The second step is to solve for the variable "x":
[tex]x=y-2[/tex]
The third step is to interchange the variables, then:
[tex]y=x-2[/tex]
Finally, let be h(x) the inverse of the function f(x). Then, you can replace "y" with h(x). Therefore, this is:
[tex]h(x)=x-2[/tex]
