Mathematics

Mathematics

Problem

If f(x)=x2+g′(1)x+g′′(2)f(x) = x^2 + g'(1)x + g''(2) and g(x)=f(1)x2+xf′(x)+f′′(x)g(x) = f(1)x^2 + xf'(x) + f''(x) , then the value of f(4)−g(4)f(4) - g(4) is equal to \_\_\_\_\_\_. ![](![Bookmark icon](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/0a406099f4984477a17efd11008efc19/64662465bba247703fdec49c8f3309f9_img.jpg))

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