SUMMARY
The domain of the function t^(-1) + 2t^(-2) is all real numbers except for 0. This conclusion is reached by rewriting the function as 1/t + 2/t^(2), which clearly shows that the function is undefined at t = 0. Therefore, the domain can be expressed as D = {t ∈ ℝ | t ≠ 0}.
PREREQUISITES
- Understanding of basic algebraic functions
- Knowledge of function domains and discontinuities
- Familiarity with rational expressions
- Ability to manipulate and simplify mathematical expressions
NEXT STEPS
- Study the concept of discontinuities in rational functions
- Learn about limits and their relation to function domains
- Explore the implications of undefined points in calculus
- Investigate the graphical representation of functions with restricted domains
USEFUL FOR
Students in mathematics, educators teaching algebra, and anyone interested in understanding function domains and their properties.