if 2f(x) - 3f(1/x) = x^2, determine f(2). What would the steps be to solve this?

You can write two equations one for x=2 one for x=1/2 It will have two variables f(2) and f(1/2) Solving it will give you f(2) and f(1/2)

I have the answer key and it is saying that f(2) = -7/4

Might be

Alright, i'll try it out! thanks!

If you are stuck let me know and good luck!

Thank you so much!

yes -7/4 is the correct answer

So I would have 1. f(2) and 2. f(1/2) and I would subsitute that into the function two times?

Not really. First set x=2 and write up an equation Than set x=1/2 and do the same.

After I set x = 2, I get 4 - 3/2 = 4 which doesn't do much for me

when x=2 2f(2)-3f(1/2)=4

You do not know what the function f does

So what would I do after that when I am left with 2f(2)-3f(1/2)=4

write up the same when x=1/2

then?

then you have two equations with two unknown variables and I guess you already learnt how to solve that

So I can either use the subsitution or elimination method?

I got it!

Very good

Join our real-time social learning platform and learn together with your friends!