If f(x)=(a^x+a^-x)/2, show that f(2x)=[f(x)]^2-1?

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2007-03-18 22:38:05 · 2 answers · asked by Ricardo 1 in Science & Mathematics ➔ Mathematics

f(x) = (a^x+a^-x)/2

f(x)^2 = ((a^(2x) + a^(-2x) + 2a^xa^-x)/4
= (a^(2x) + a^(-2x) + 2)/4

not f(2x) -1

2007-03-18 23:20:46 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 0⤋

just have a look at this image, i worked on this question.
http://inlinethumb07.webshots.com/3142/2983129500100400651S600x600Q85.jpg

2007-03-18 23:20:14 · answer #2 · answered by chintu 2 · 0⤊ 0⤋