Math Problem Statement
Solution
To analyze the problem and provide the solution:
The question involves the functions and , and asks for the composition . Let me clarify the steps:
- Composition definition: , so we evaluate at .
- Since for any , regardless of the input , the value of is always .
- Therefore, .
The correct answer is 1 (A).
Let me know if you want further details or have questions! Here are 5 related questions:
- How does function composition work in other examples?
- Why does result in a constant output for the composition?
- What happens when the order of composition is reversed?
- What are common applications of function composition in mathematics?
- How do we verify compositions graphically?
Tip: Always simplify the inner function first in a composition to reduce complexity.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Function Composition
Constant Functions
Algebra
Formulas
(g ∘ f)(x) = g(f(x))
f(x) = x^2 + 3x
g(x) = 1
Theorems
Function Composition Rule
Suitable Grade Level
Grades 9-11
Related Recommendation
Function Composition: f(g(x)) and g(f(x)) for f(x) = 3x + 1 and g(x) = x^2 + 1
Evaluating Function Composition of f(x) = 2x and g(x) = x + 4 for x = 0, 1, 2, 3
Evaluate Functions f(x) = x^2 - 4 and g(x) = 3x + 2
Composition of Functions: Simplifying (f ∘ g)(x)
How to Find g(f(x)) for Functions f(x) = 1/x and g(x) = 3x + 2