- #1

Austin Chang

- 38

- 0

## Homework Statement

Let f: ℝxℝ → ℝ and g: ℝ → ℝxℝ be given by f(x,y) = x and g(x) = (x,0) Compute f°g and g°f (This means for each function find the domain and codomain, and show what each function evaluates at each point in the domain.

## Homework Equations

## The Attempt at a Solution

g°f ⇒ f(g(x)) or f(x,y) = x → g(x) = (x,0). Therefore x ∈ ℝ and y ∈ ℝ is the domain and x ∈ ℝ and y ∈ 0 is part of the codomain. When placing x ∈ ℝ and y ∈ ℝ in the function the output will be (x,0) iff (x,y)[/B]

That is for g°f. Not going to spend another 3 minutes typing out f°g because I think it would be a waste of mine and your time. I am just really confused about everything on this section as a whole and hopefully your insights will help. Please ... Please point out anything that you don't like about the way I write or my notation or really anything. Thanks