1.

If `f,g:R->R` be two functions defined as `f(x)=|x|+x` and `g(x)=|x|-x`. Find `fog` and `gof`. Hence find `fog(-3)`, `fog(5)` and `gof(-2)`.

Answer» `f(x)=|x|+x and g(x)=|x|-x `
`fog=||x|-x|+|x|-x`
`gof=||x|+x|-(|x|+x) `
`fog(-3)=6+3+3=12`
`fog(5)=0+5-5=0`
`gof(-2)=0`


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