Math Problem Statement
Solution
The problem reads:
Jika dan , nilai dari = ....
Translation:
If and , find .
Solution:
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means .
- This implies that .
-
We know that , so substitute into : Therefore:
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Solve for :
-
Now, find :
Thus, .
Would you like more details or further questions on this? Here are some related questions:
- What is the general process to find the composition of two functions?
- How do you check if your solution for is correct?
- How would the process change if was a quadratic function?
- Can be defined for all functions and ?
- What is the importance of inverse functions when dealing with compositions?
Tip: When solving function composition problems, always make sure to carefully substitute the expressions and simplify systematically to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Function Composition
Linear Equations
Formulas
f(x) = 2x - 1
(f ∘ g)(x) = -14x + 21
g(x) = -7x + 11
Theorems
Function Composition
Suitable Grade Level
Grades 10-12
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