# Inspired From Inspiration

Calculus Level 4

$\large f\left( x \right) =\sqrt { 21+4x-{ x }^{ 2 } } -\sqrt { 10+3x-{ x }^{ 2 } }$

If the maximum value of the function given above occurs at $$x={ x }_{ 0 }$$ and the maximum value is $${y }_{ 0 }$$, find $${ x }_{ 0 }+{ y }_{ 0 }$$.

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