Answer:
f(x) and its inverse are the same
Step-by-step explanation:
The inverse function
If y=f(x), the inverse function [tex]f^{-1}(x)[/tex] is defined such as
[tex]f(f^{-1}(x))=x[/tex]
To find the inverse function, there is a practical method:
a) Change letters x for y and vice-versa
b) Isolate y in terms of x only
c) [tex]y=f^{-1}(x)[/tex]
In our case, [tex]y=f(x)=-x[/tex]
a) Interchanging letters
[tex]x=-y[/tex]
b) Isolate [tex]y=-x[/tex]
c) [tex]f^{-1}(x)=-x[/tex]
As we can easily see, f and its inverse are exactly the same
[tex]f(x)=f^{-1}(x)[/tex]
