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Let f,g: R-R be two functions defined as...

Let `f,g: R-R` be two functions defined as `f(x)=|x|+x` and `g(x)=|x|-x` , for all `x` Then find fog and gof.

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Here, `f(x) = |x|+x` and `g(x) = |x|-x`
`:.fog = f(g(x))`
`=>fog = f(|x|-x)`
`=>fog = ||x|-x|+|x|-x`
Now, `gof = g(f(x)`
`=>gof = g(|x|+x)`
`=>gof = ||x|+x|-|x|-x`
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