9709 P13 - Jun 2024 - Q11 - 9 marks
10118
f(x)=10+6x−x² and g(x)=4x+k are defined for all real x.
(a) By completing the square, find the range of f. [3]
(b) The graphs of y=g⁻¹f(x) and y=g(x) meet at exactly one point P. Find P. [6]
