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Function question

If f(x) is a real valued function such that 2f(x) + 3f(−x) = 15 4x, for every x R, what is the value of f(2)?

How do you solve this?
(edited 7 years ago)
Stick x=2 and x=-2 in, try juggling that around?
2f(2) + 3f(-2) = 7
2f(-2) + 3f(2)= 23
then solve simultaneously
(edited 7 years ago)
Reply 2
If you could also help me with this functions question please. Its a function inside a function which confuses me
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Original post by an_atheist
Stick x=2 and x=-2 in, try juggling that around?
2f(2) + 3f(-2) = 7
2f(-2) + 3f(2)= 23
then solve simultaneously
m=1 n=1, sub into the third function set to return f(0,f(1,0)). F(1,0) = f(0,1) = 2
F(0,2) = 3, B
That's the answer I get
Reply 4
Original post by an_atheist
m=1 n=1, sub into the third function set to return f(0,f(1,0)). F(1,0) = f(0,1) = 2
F(0,2) = 3, B
That's the answer I get


How do you solve the
f(0,f(1,0))
Original post by Carman3
How do you solve the
f(0,f(1,0))


Firstly evaluate f(1,0)
Reply 6
Original post by RDKGames
Firstly evaluate f(1,0)


I got f(0,1) for that then what i do do i run it back through the function if so what line do i use
Original post by Carman3
I got f(0,1) for that then what i do do i run it back through the function if so what line do i use


Yeah so what is f(0,1)?? Check the conditions in the piecewise function to determine what happens.

It is easier to lay it out step by step:

f(1,1)=f(0,f(1,0))=f(0,f(0,1))=...f(1,1)=f(0,f(1,0))=f(0,f(0,1))=...
(edited 7 years ago)

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