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Let f:[2,oo) rarr R and g:[-2,oo) rarr R...

Let `f:[2,oo) rarr R` and `g:[-2,oo) rarr R` be to two real functions defined `f(x)=sqrt(x-2`) and `g(x)=sqrt(x+2.)` Find `f+g` and `f-g`.

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Clearly, `f ( x )= sqrt(x − 2)` is defined for all real values of `x` for which `x − 2 gt 0 `
i . e, ` x gt 2` .
So, `dom ( f ) = [ 2 , oo ) `
Also, `g ( x ) = sqrt(x + 1)` ...
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