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

Apr 1, 2017

$f \left(x\right) \le \frac{1}{4}$

#### Explanation:

$f \left(x\right) = \frac{1}{x} ^ 2$ for $x \ge 2$

$f \left(x\right) > 0 \forall x \in \mathbb{R}$

$f \left(2\right) = \frac{1}{4}$

$f \left(x\right) \forall x > 2$ is $< \frac{1}{4}$

Hence: $f \left(x\right) \le \frac{1}{4}$for $x \ge 2$

This can be seen by the graph of $f \left(x\right) : x \ge 2$ below:

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