perplexus.info :: Just Math : Function at least 2

Function at least 2 (Posted on 2021-10-15)

Let a,b be reals and f(x)=ax+b+9/x. Prove that there exists x₀∈[1,9], such that |f(x₀)|≥2.

No Solution Yet Submitted by Danish Ahmed Khan

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re: what am I missing?

| Comment 2 of 4 |

(In reply to what am I missing? by Steven Lord)

Steven:

It needs to be proved for any a and b, not just a=b= 1

Posted by Steve Herman on 2021-10-16 08:20:47

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