Question

if f(x) = x+ (1/x)


prove that (f(x))³= f(x)³ + 3f(1/x)

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Answer 1

Answer:

Step-by-step explanation:

Hope it help.

Answer 2

$f ({x})^{3} = {x}^{3} + \frac{1}{ {x}^{3} } \\ 3f( \frac{1}{x}) = 3( \frac{1}{x} + x) \\ f {(x)}^{3} + 3f( \frac{1}{x} ) = {(f(x))}^{3}$