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Determine-A-B-C-such-that-all-of-the-following-function-intersect-the-point-2-2-f-1-x-Ax-1-f-2-x-Bx-2-2-f-3-x-Cx-3-3-Mastermind-




Question Number 180836 by Mastermind last updated on 17/Nov/22
Determine A,B,C such that all of the  following function intersect the point  (2,2) ;  f_1 (x)=Ax + 1,  f_2 (x)=Bx^2  + 2,    f_3 (x)=Cx^3  + 3    Mastermind
$$\mathrm{Determine}\:\mathrm{A},\mathrm{B},\mathrm{C}\:\mathrm{such}\:\mathrm{that}\:\mathrm{all}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{following}\:\mathrm{function}\:\mathrm{intersect}\:\mathrm{the}\:\mathrm{point} \\ $$$$\left(\mathrm{2},\mathrm{2}\right)\:; \\ $$$$\mathrm{f}_{\mathrm{1}} \left(\mathrm{x}\right)=\mathrm{Ax}\:+\:\mathrm{1},\:\:\mathrm{f}_{\mathrm{2}} \left(\mathrm{x}\right)=\mathrm{Bx}^{\mathrm{2}} \:+\:\mathrm{2},\:\: \\ $$$$\mathrm{f}_{\mathrm{3}} \left(\mathrm{x}\right)=\mathrm{Cx}^{\mathrm{3}} \:+\:\mathrm{3} \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$
Answered by afrika last updated on 17/Nov/22
  all you have to do is   input (2,2)  A=0.5   B=0   C=−1/8
$$ \\ $$$$\mathrm{all}\:\mathrm{you}\:\mathrm{have}\:\mathrm{to}\:\mathrm{do}\:\mathrm{is}\: \\ $$$$\mathrm{input}\:\left(\mathrm{2},\mathrm{2}\right) \\ $$$$\mathrm{A}=\mathrm{0}.\mathrm{5}\:\:\:\mathrm{B}=\mathrm{0}\:\:\:\mathrm{C}=−\mathrm{1}/\mathrm{8} \\ $$

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