Finding a COMPOSITE FUNCTION
Автор: Maths Depot
Загружено: 2026-01-31
Просмотров: 5
Описание:
In this question, we’ve been given two functions, m and n; and asked to prove the value of the composite function, mn(x) is x.
Key Steps
1. Set up the composition
2. Simplify the multiplication
3. Combine like terms
Key Points
1. Composite Function Definition: A composite function is formed by substituting the output of one function as the input of another.
2. Composite Function Calculation: To find mn(x), substitute n(x) = (x-3)/2 into m(x) = 2x + 3, resulting in mn(x) = x.
Key Skills
1. Substitution: Understanding that mn(x) means m(n(x)).
2. Algebraic Manipulation: Multiplying a whole number by a fraction and canceling common factors.
3. Understanding Inverse Functions: Recognizing that if mn(x) = x, then function n effectively "undoes" whatever function m does to x.
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