Mathematics

Mathematics

Problem

For 0≤x≤50\le x\le5 the function gg is defined by g(x)={x2−4x+1,0≤x≤2,4ln⁡x+1,2<x≤5.g(x)= \begin{cases} x^{2}-4x+1, & 0\le x\le 2,\\ 4\ln x +1, & 2< x\le 5. \end{cases} At which xx–value does gg attain its absolute maximum on the interval [0,5][0,5]? a) x=2x=2 b) x=5x=5 c) x=ex=e d) x=3x=3

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