# math-191

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show that k(x)= (5x^3) + (5/x^3) - x- (1/x)

• math-191 -

^ sorry didn't finish: show that k(x)= k(1/x)

• math-191 -

let me rewrite k(x)

k(x) = 5(x^3) + 5(1/x^3) - x/1 - 1/x

it should be intuitively obvious that
k(x) = k(1/x)

• math-191 -

yea i realize that but the question says "show" that they equal each other. im thinking possibly by some sort of identity or something.

• math-191 -

sub 1/x for x

k(1/x) = 5(1/x^3) + 5/(1/x^3) - 1/x - 1/(1/x)
= 5/x^3 + 5x^3 - 1/x - x

= the original k(x) , just the order of writing down the terms has changed.

• math-191 -

ohh i see duh!! lol thanks =)

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