Let 𝑓 : R+ β†’ R+ . Suppose that for all 𝑥, 𝑦 ∈ R+ , (a) Express 𝑓 (2𝑥) and &#1198

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answerhappygod
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Let 𝑓 : R+ β†’ R+ . Suppose that for all 𝑥, 𝑦 ∈ R+ , (a) Express 𝑓 (2𝑥) and &#1198

Post by answerhappygod »

Let 𝑓 : R+ β†’ R+ . Suppose that
for all π‘₯, 𝑦 ∈ R+ ,
(a) Express 𝑓 (2π‘₯) and 𝑓 (3π‘₯) in terms of 𝑓 (π‘₯).
(b) Conjecture and prove a formula for 𝑓 (𝑛π‘₯) that is valid for
every integer 𝑛 β‰₯ 2.
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