Math Problem Statement
Evaluate g(h(-3)) using the tables for functions g and h.
Solution
To evaluate , we will need to follow these steps:
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Find : From the second table:
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Find : Now use the value in the first table to find :
Thus, .
Would you like more details on any part of the process?
Here are five questions to expand your understanding:
- What is the composition of functions and how is it used in this problem?
- How would the process change if the tables were given as equations instead of values?
- Can the values of and be used to deduce the formulas of the functions?
- What happens if and have domain restrictions? How would that affect the evaluation?
- How can function composition be applied in real-world contexts?
Tip: When composing functions, always apply the inner function first and then the outer function for correct evaluation.
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Math Problem Analysis
Mathematical Concepts
Function Composition
Function Evaluation
Formulas
g(h(x)) where g and h are functions
Theorems
Function Composition Theorem
Suitable Grade Level
Grades 9-10