Let `f,g: RvecR` be a two function defined as `f(x)=|x|+x and g(x)=|x|-x` for all `x in Rdot` Then, find `fog` and `gof`

Explanation

`f(x)=2 x, text { if } x geq 0 , text { if } quad x<0.`


`g(x)=0, text { if } quad x geq 0 -2 x, text { if } x<0.`


Thus for `x geq 0, quad` (gof) `(x)=g(2 x)=0`


and for `x<0, quad(g o f)(x)=g(0)=0`


or `(g circ f)(x)=0 forall x in R`
Thus for `x geq 0, quad(` fog `)(x)=f(0)=2(0)=0`


and for `x<0, quad(f circ g)(x)=f(-2 x)=-4 x`


or


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