Math Problem Statement
Find f(x) + g(x), where f(x) = 4x^2 - 5x^4 and g(x) = 2x^2 + 3x^3 - x^4.
Solution
The question asks to find , where:
To find , add the corresponding terms:
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Combine from and from :
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Combine the from and from :
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Add the term from (no corresponding term in ):
Thus, the result is:
Would you like more explanation or have questions? Here are five related questions to expand your understanding:
- How do you subtract two functions instead of adding them?
- How do you handle multiplication of two functions, such as ?
- What are the implications of higher-degree terms like in polynomial functions?
- How does function addition apply to real-world problems?
- Can be graphed? How would it look visually compared to and ?
Tip: Always align similar powers of when adding or subtracting pol
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Functions
Function Addition
Formulas
f(x) = 4x^2 - 5x^4
g(x) = 2x^2 + 3x^3 - x^4
f(x) + g(x) = (4x^2 - 5x^4) + (2x^2 + 3x^3 - x^4)
Theorems
Addition of Polynomial Functions
Suitable Grade Level
Grades 9-11