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Adam555
Group Title
Functions
If 2f(x)  3f(1/x) = x^2, determine f(2)
Thanks
 3 years ago
 3 years ago
Adam555 Group Title
Functions If 2f(x)  3f(1/x) = x^2, determine f(2) Thanks
 3 years ago
 3 years ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.0
we can do this it requires a little work
 3 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
in fact we can find a formula for \[f(x)\] if you like you pick
 3 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
let's do the easy one you know \[2f(x)3f(\frac{1}{x})=x^2\] so if you replace x by 2 you get \[2f(2)3f(\frac{1}{2})=4\] and if you replace x by 1/2 you get \[2f(\frac{1}{2})3f(2)=\frac{1}{4}\] which is the same as \[3f(2)+2f(\frac{1}{2})=\frac{1}{4}\]
 3 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
so the basic idea is you are solving a system of equations like in algebra where you have \[2x3y=4\] an d \[3x+2y=\frac{1}{4}\]
 3 years ago
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