9709 P12 - Jun 2010 - Q3
722
The functions f and g are defined for x ∈ ℝ by
f : x ↦ 4x − 2x2,
g : x ↦ 5x + 3.
(i) Find the range of f.
\((ii) Find the value of the constant k for which the equation gf(x) = k has equal roots.\)
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