- #1

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## Homework Statement

Find the functions:

f: (0, ∞) → ℝ and g: ℝ → ( 0, ∞) such that f o g = I

_{ℝ}(I

_{ℝ}denotes identity function on ℝ).

## Homework Equations

## The Attempt at a Solution

I am having trouble working backwards. I know that (f o g)(x) is f(g(x)). I am unsure if this is correct but would f o g be ℝ →ℝ be correct? And then that is the identity function? Making the identity function x?. I am confused on how exactly to approach this problem however. Any help is appreciated. Thank you.