Answer:
inverse of [tex]f(x)=x+2[/tex] is [tex]x-2[/tex]
Step-by-step explanation:
To find the inverse of given function, we replace [tex]f(x)[/tex] by y
[tex]y=x+2[/tex]
interchanging x and y we get
[tex]x=y+2[/tex]
then separating the variable y we get
[tex]y=x-2[/tex]
again replace y by [tex]f^{-1}(x)[/tex], we get
[tex]f^{-1} (x)=x-2[/tex]
and we complete the question·