Math Problem Statement
Solution
The image contains a mathematical problem written in Indonesian. It reads:
- "Jika dan , maka rumus ."
This is asking for the composition of two functions, and , where:
To find the composition , we substitute into :
- Start by substituting into the function :
- Now, simplify the expression:
Thus, the correct formula for is:
This matches the given result.
Would you like any further explanation or details?
Here are five related questions to explore further:
- How do you compute the composition of two functions in general?
- What is the domain of the composition of two functions?
- How does the result of change if is a quadratic function?
- What happens if you reverse the composition, i.e., calculate ?
- How does composition relate to inverse functions?
Tip: When performing function composition, always substitute the inner function into the outer function carefully, paying attention to signs and parentheses.
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Math Problem Analysis
Mathematical Concepts
Function Composition
Algebra
Formulas
(f o g)(x) = f(g(x))
Theorems
Function Composition Theorem
Suitable Grade Level
Grades 9-12
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