csat-suneung 2020 Q10

csat-suneung · South Korea · csat__math-humanities 3 marks Curve Sketching Graphical Interpretation of Inverse or Composition
For the function $y = \sqrt { 4 - 2 x } + 3$, what is the minimum value of the real number $k$ such that the graph of its inverse function and the line $y = - x + k$ intersect at two distinct points? [3 points]
(1) 1
(2) 3
(3) 5
(4) 7
(5) 9
For the function $y = \sqrt { 4 - 2 x } + 3$, what is the minimum value of the real number $k$ such that the graph of its inverse function and the line $y = - x + k$ intersect at two distinct points? [3 points]\\
(1) 1\\
(2) 3\\
(3) 5\\
(4) 7\\
(5) 9