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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)`. |
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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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