Math Problem Statement
Solution
You are tasked with finding the composite function using the given functions:
The composition of functions means we need to evaluate the functions in the following order:
- First, find , which is .
- Then, substitute into , so compute .
- Finally, substitute into , so compute .
Thus, the final composite function is:
Would you like more details or have any questions?
Here are 5 related questions:
- How do you evaluate the composition of more than two functions?
- What are the properties of cube roots in function composition?
- How does exponentiation work when composing functions with fractional exponents?
- Can you explain how function composition changes if one of the functions is not one-to-one?
- What happens if we reverse the order of function composition in this case?
Tip: When composing functions, always start from the innermost function and work outward step by step.
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Math Problem Analysis
Mathematical Concepts
Function Composition
Exponents
Cube Roots
Formulas
f(x) = 3x + 7
g(x) = x^2
h(x) = ∛x
Composite function (f ∘ g ∘ h)(x)
Theorems
Function Composition Theorem
Suitable Grade Level
Grades 9-12
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