hi everybody, I've been looking at this problem for a while. Given that f(x)+2f(8-x)=4 for all real x values find f(2). Maybe I am missing something obvious. Can anyone help? Thanks in advance.
Last edited by Melody2; Jan 22nd 2014 at 02:28 AM.
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Originally Posted by Melody2 hi everybody, I've been looking at this problem for a while. Given that f(x)+2f(8-x)=4 for all real x values find f(2). Maybe I am missing something obvious. Can anyone help? Thanks in advance. from the first equation plugging in
Originally Posted by romsek I am sorry Romsek but this doesn't make any sense to me. f(2) + 2f(6) = 4 Good, that's given but the next 2 lines are a mystery to me.
Originally Posted by Melody2 I am sorry Romsek but this doesn't make any sense to me. f(2) + 2f(6) = 4 Good, that's given but the next 2 lines are a mystery to me. the first line is your expression with x=2 the second line is the same w/x=6 the 3rd line is the sum of the 1st and 2nd lines the 4th line simple divides both sides by 3.
Of course. Thanks Romsek. I really appreciate it.
Last edited by Melody2; Jan 22nd 2014 at 10:48 PM.
clear? Ah, I shouldn't have had a after the first line. The first doesn't imply the second line. Sorry.
All sorted. Thanks. The arrow did confuse me but also I didn't understand what w/x meant . I thought it was some kind of ratio. lol
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