Math Problem Statement

solve ex 3

Solution

Let's solve Exercise 3, which involves analyzing the function f(x)=arctg(1x2)f(x) = \arctg\left(\frac{1}{x^2}\right).


1. Find the domain of definition of ff.

The function is given by: f(x)=arctg(1x2).f(x) = \arctg\left(\frac{1}{x^2}\right).

  • The domain of arctg\arctg (arctan) is all real numbers, but we need to ensure that 1x2\frac{1}{x^2} is defined.
  • ( \frac{1}{x^2} \

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Math Problem Analysis

Mathematical Concepts

Calculus
Inverse Trigonometric Functions
Domain of Functions

Formulas

f(x) = arctg(1/x^2)

Theorems

Domain Analysis for Inverse Trigonometric Functions

Suitable Grade Level

Grade 12 or College Level