. The functions f and g are defined by f: x \mapsto x^{2}-2 x+3, \quad x \in \mathbf{R}, 0 \leq x \leq 4 g: x \mapsto \lambda x+1, \text { where } \lambda \text { is a constant, } x \in \mathbf{R} (a) Find the range of f on the given interval. b) Given that gf(2)= 16, find the value of