f x 2 x 3 2f x 2 3x 5 6x 2 10x 17 Free functions calculator explore function domain range intercepts extreme points and asymptotes step by step
Best answer Correct Answer f x 2x 3 Obviously f is a linear polynomial Let f x ax b Hence f x2 x 3 2f x2 3x 5 6x2 10x 17 f x2 x 3 2f x2 3x 5 6x2 10x 17 or a x2 x 3 b 2 a x2 3x 5 b 6x2 10x 17 a x2 x 3 b 2 a x2 3x 5 b 6x2 10x 17 As Jean Marie pointed out it so happens that the polynomial x 2 x 3 transforms to x 2 3x 5 when reflected across the x 1 axis You may transform the functional equation utilising this symmetry to get a convenient equation with f that allows you to solve for it
f x 2 x 3 2f x 2 3x 5 6x 2 10x 17
f x 2 x 3 2f x 2 3x 5 6x 2 10x 17
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Zapisz Wz r Funkcji F x 3x2 6x 2 W Postaci Iloczynowej
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f x 2 x 3 2f x 2 3x 5 6x 2 10x 17 - Explore math with our beautiful free online graphing calculator Graph functions plot points visualize algebraic equations add sliders animate graphs and more