Question

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

Answer 1

just plug in 2 for x.

Answer 2

its not that simple

Answer 3

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).

Answer 4

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

Answer 5

You end up with f(2)=-7/4