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

Answer 1

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)