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If f: [-3,4] to R,f(x)=2x, " and " g :[-...

If `f: [-3,4] to R,f(x)=2x, " and " g :[-2, 6] to R,g(x) =x^(2)`. Then find function `(f+g)(x).`

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`f: [-3,4] to R,f(x)=2x, " and " g :[-2, 6] to R,g(x) =x^(2)`
For `(f+g)(x)` we consider common domain of f(x) and g(x).
Now `[-3,4] cap [-2,6] -= [-2,4]`
So, `(f+g):[-2,4] to R, (f+g)(x)=2x+x^(2).`
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