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If f,: RvecR be two functions defined...

If `f,: RvecR` be two functions defined as `f(x)=|x|+x` and `g(x)=|x|-x ,AAxR ,` Then find `fog` and `gofdot` Hence find `fog(-3),fog(5)` and `gof(-2)dot`

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We have:` f(x)=|x|+x`

` g(x)=|x|-x, forall x in R `

` fog =f(g(x)) =|g(x)|+g(x) `

` =|| x|-x|+(|x|-x)`

` therefore,`

` ...
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