SUMMARY
The domain of the square root function f(x) = (3x + 5)^(1/2) is determined by ensuring the radicand, 3x + 5, is non-negative. Solving the inequality 3x + 5 ≥ 0 yields x ≥ -5/3. Therefore, the domain of the function is all real numbers x such that x is greater than or equal to -5/3.
PREREQUISITES
- Understanding of square root functions
- Knowledge of solving inequalities
- Familiarity with basic algebraic manipulation
- Concept of radicands in mathematical expressions
NEXT STEPS
- Study the properties of square root functions
- Learn how to solve linear inequalities
- Explore the concept of domains in different types of functions
- Investigate the impact of transformations on function domains
USEFUL FOR
Students studying algebra, mathematics educators, and anyone looking to deepen their understanding of function domains and inequalities.