Math Problem Statement
Solution
Let's calculate , which involves substituting into the function .
Given:
To find , substitute into :
Substituting into the equation:
To expand , we can use the binomial expansion or simplify for a particular value of . However, expanding the expression exactly would be complex, so unless a specific value is given, we'll keep it in its expanded polynomial form.
Simplifying the linear term:
Thus, the function becomes:
If you need the full expansion or evaluation for a specific value of , let me know!
Would you like more details or have any questions about this calculation?
Here are some related questions:
- What is the derivative of ?
- Can you evaluate ?
- How would you describe the composition of functions?
- What happens when you compose ?
- How does the order of function composition affect the result?
Tip: When working with function compositions, always substitute the inner function correctly into the outer function before simplifying or expanding.
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Math Problem Analysis
Mathematical Concepts
Function composition
Polynomial functions
Binomial expansion
Formulas
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Theorems
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Suitable Grade Level
Grades 10-12