csat-suneung 2019 Q26

csat-suneung · South-Korea · csat__math-humanities 4 marks Inequalities Optimization Subject to an Algebraic Constraint
Find the maximum value of the real number $k$ such that the graphs of $y = \sqrt { x + 3 }$ and $y = \sqrt { 1 - x } + k$ intersect. [4 points]
Find the maximum value of the real number $k$ such that the graphs of $y = \sqrt { x + 3 }$ and $y = \sqrt { 1 - x } + k$ intersect. [4 points]