Let's solve **Exercise 3**, which involves analyzing the function \( f(x) = \arctg\left(\frac{1}{x^2}\right) \).

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### **1. Find the domain of definition of \( f \).**

The function is given by:
\[
f(x) = \arctg\left(\frac{1}{x^2}\right).
\]

- The domain of \( \arctg \) (arctan) is all real numbers, but we need to ensure that \( \frac{1}{x^2} \) is defined.
- \( \frac{1}{x^2} \

Explore the domain of the function f(x) = arctg(1/x^2) in this solution to Exercise 3. Learn how to analyze inverse trigonometric functions and understand the requirements for the function’s definition. Suitable for Grade 12 or college-level students.

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