#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]}