Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsInverseHard3 minQB

MathematicsHardmultiple choice

Let $f (x) = αx / (x + 1)$ be bijective, $f (f (f (β))) = 1$ , and $f^{- 1} (2) = 1$ . Which are true?

Answer:

A, B, C

Solution:

$f (1) = 2$ gives $α = 4$ ; repeated inversion gives $β = 1/43$ . A-C hold; D is false.

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Inverse

⏱ 3mℹ️ Source: QB

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