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
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 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!
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