Inverse functions?
I was just wondering...Isnot y=x the only function that is the inverse of itself? How do you go on about saying it in a formal way? I mean as response to your assignment question. where you are not just told to not only give fatcts but "Justify your claim with appropriate...
Determine f(f-1(x)) and f-1(f(x)) of the following functions. What do you notice?
a.) f(x) = 7x-3
b.)f(x) = 2/3 x+2 (there were no brackets the x+2 is just beside the fraction)
Rule: If f(g(x)) = x and f(f(x)) = x, then f(x) and g(x) are inverse of each other.
This is my exercise...
What is the general solution to the equations f(g(x))=h(x) and g(f(x))=h(x), or how do you find the particular soltuion to the equations given a function f (given any f what is the general form of h(x) such that g(x) exists)?
My thoughts on the topic:
Specific example:
Suppose we have...