Math Problem Statement
Solution
The image shows a mathematical question written in Indonesian. Here's the problem in the image:
Diketahui:
,
,
.
Tentukan !
This question is asking for the composition of functions, specifically , which means .
Step-by-Step Solution:
-
Find :
-
Substitute into :
-
Substitute into :
Thus, the composition of the functions is:
Would you like further details or have any other questions?
5 Related Questions:
- What is the meaning of function composition?
- How would the result change if , , or were different functions?
- Can you explain the importance of the order in which functions are composed?
- How do you differentiate a composition of functions?
- What happens if you reverse the order of composition, such as ?
Tip:
Always evaluate the innermost function first when solving compositions, as the order of operations in function composition is critical for accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Composition
Formulas
f(g(h(x)))
Substitute functions sequentially
Theorems
-
Suitable Grade Level
Grades 9-12
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