Determine X for the Inequality: f(x) = x² > 0

Given the function:

$y=x^2$

Determine for which values of x is $f\left(x\right) > 0$ true

To solve this problem, let's follow our planned approach:

• Consider the function $y = x^2$.
• The quadratic function $y = x^2$ is non-negative for all real numbers.
• Specifically, $y = x^2 = 0$ only at $x = 0$. Therefore, $y > 0$ when $x \neq 0$.

Therefore, for $f(x) = x^2$ to be greater than zero, the condition is that $x \neq 0$.

Thus, the solution to the problem is $x \neq 0$.