If the quadratic function F1 (x) - a1x ^ 2 + b1x + C1, F2 (x) = a2x ^ 2 + b2x + C2, such that F1 (x) + F2 (x) is an increasing function on R, please give the following result If the quadratic function F1 (x) - a1x ^ 2 + b1x + C1, F2 (x) = a2x ^ 2 + b2x + C2, such that F1 (x) + F2 (x) is an increasing function on R, please give a set of F1 (x) =? F2 =? | Math enthusiast | Mathematical art

If the quadratic function F1 (x) - a1x ^ 2 + b1x + C1, F2 (x) = a2x ^ 2 + b2x + C2, such that F1 (x) + F2 (x) is an increasing function on R, please give the following result If the quadratic function F1 (x) - a1x ^ 2 + b1x + C1, F2 (x) = a2x ^ 2 + b2x + C2, such that F1 (x) + F2 (x) is an increasing function on R, please give a set of F1 (x) =? F2 =?

The sum of quadratic expressions may be 2, 1 or 0
If R is an increasing function, it can only be 1
therefore
f1(x)=-x²+2x+3
f2(x)=x²+x+2
Then F1 (x0 + F2 (x) = 3x + 5 is an increasing function on R

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