$f(x) = 1/x^2$ for $x>=2$ Then $f(x) <=$ ?

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Answer 1 · 2017-04-01T10:23:24

$f(x) <= 1/4$

$f(x) = 1/x^2$ for $x>=2$

$f(x) >0 forall x in RR$

$f(2) = 1/4$

$f(x) forall x > 2$ is $< 1/4$

Hence: $f(x) <= 1/4$ for $x>=2$

This can be seen by the graph of $f(x): x>=2$ below:

graph{1/x^2 [-0.376, 6.552, -0.316, 3.152]}

f(x) = 1/x^2f(x) = 1/x^2 for x>=2x>=2 Then f(x) <=f(x) <= ?