Math Problem Statement
(fog)(x)
Solution
The notation , or , refers to the composition of two functions and . The composition of and is written as , meaning that you first apply to , and then apply to the result of .
If you are asking about the composition , here’s the general process:
- Evaluate : Plug the value of into the function .
- Apply to : Take the result from and substitute it into the function .
So, .
Would you like an example with specific functions for more clarity? Or do you need a breakdown of how to calculate it?
Here are some related questions that expand on this topic:
- How do you find the domain of a composition of functions?
- What is the inverse of a function composition?
- How do you handle compositions of three or more functions?
- How do compositions behave with trigonometric functions?
- How can function composition be used in calculus (e.g., in chain rule)?
Tip: Make sure that the range of the inner function is within the domain of the outer function when composing functions.
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Math Problem Analysis
Mathematical Concepts
Function composition
Evaluation of functions
Formulas
(f ∘ g)(x) = f(g(x))
Theorems
Domain and range compatibility for function composition
Suitable Grade Level
Grades 9-12