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Question
Multiple choice question :
Let f(x) = `sqrt(1 + x^2)` then
Options
f(xy) = f(x).f(y)
f(xy) ≥ f(x).f(y)
f(xy) ≤ f(x).f(y)
None of these
Solution
f(xy) ≤ f(x).f(y)
Explanation;
`sqrt(1 + x^2y^2) ≤ sqrt((1 + x^2)) sqrt((1 + y^2))`
⇒ f(xy) ≤ f(x).f(y)
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