Let f(x) = √(1 + x2) then (1) f(xy) = f(x),f(y) (2) f(xy) ≥ f(x) – InterviewSolution

1.

Let f(x) = √(1 + x2) then (1) f(xy) = f(x),f(y) (2) f(xy) ≥ f(x),f(y) (3) f(xy) ≤ f(x).f(y) (4) None of these

Answer»

(3) f(xy) ≤ f(x).f(y)

√(1 + x²y²) ≤ √(1 + x²) √(1 + y²)

⇒ f(xy) ≤ f(x).f(y)

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