Math Problem Statement
If f(x) = 2x^2 + 5√(x - 2), complete the following statement: f(3) = _____
Solution
Given the function , substituting yields:
Would you like further clarification or have any questions? Here are five related questions to consider:
- What would the value of be using the same function?
- How would the function change if ?
- How can you determine the domain of the given function?
- What happens to the function when ?
- How does the square root function affect the overall shape of the graph?
Tip: When working with functions involving square roots, always ensure the expression inside the square root is non-negative to determine the domain correctly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Square Roots
Substitution
Formulas
f(x) = 2x^2 + 5√(x - 2)
Theorems
Square root properties
Substitution method
Suitable Grade Level
Grades 9-11