SUMMARY
The function f(x) is defined as f(x) = (1/x) for x > 3 and f(x) = (2x) for x ≤ 3. To calculate f(3), the condition x ≤ 3 applies, thus f(3) = 2 * 3 = 6. This conclusion is reached by evaluating the function based on the specified conditions for the input value of 3.
PREREQUISITES
- Understanding of piecewise functions
- Basic algebra skills
- Knowledge of function notation
- Familiarity with inequalities
NEXT STEPS
- Study piecewise function examples in calculus
- Learn about function evaluation techniques
- Explore the concept of limits in piecewise functions
- Review algebraic manipulation of inequalities
USEFUL FOR
Students in mathematics, educators teaching calculus, and anyone interested in understanding piecewise functions and their evaluations.