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Adam555 Group Title

if 2f(x) - 3f(1/x) = x^2, determine f(2) (show steps please)

  • 3 years ago
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  1. kecbaaby Group Title
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    just plug in 2 for x.

    • 3 years ago
  2. Adam555 Group Title
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    its not that simple

    • 3 years ago
  3. joemath314159 Group Title
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    plug in 2, then plug in 1/2, and you will have a system of equations in two unknowns, one will be f(2), the other will be f(1/2), and you can solve for f(2).

    • 3 years ago
  4. joemath314159 Group Title
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    \[2f(2)-3f(\frac{1}{2})=4, -3f(2)+2f(\frac{1}{2})=\frac{1}{4} \] now we have to solve this system.

    • 3 years ago
  5. joemath314159 Group Title
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    You end up with f(2)=-7/4

    • 3 years ago
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