Suppose &#x03B1;<!-- α --> is an irrational number, and if f ( x ) = a x

telegrafyx

telegrafyx

Answered question

2022-06-13

Suppose α is an irrational number, and if f ( x ) = a x + b , a , b Z and that f ( α ) 0, prove that a b 0..

Answer & Explanation

Turynka2f

Turynka2f

Beginner2022-06-14Added 17 answers

Not true: let a = 1 , b = 0 , α = π. Clearly f ( α ) = π 0 and a b = 0.

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