The problem defines a function $G$ that takes a student's first name as input and returns the number of letters in that name. Part (a) asks for the meaning of $G(\text{Jada}) = 4$. Part (b) asks us to find the value of $G(\text{Diego})$.

Discrete MathematicsFunctionsCountingSets
2025/4/24

1. Problem Description

The problem defines a function GG that takes a student's first name as input and returns the number of letters in that name. Part (a) asks for the meaning of G(Jada)=4G(\text{Jada}) = 4. Part (b) asks us to find the value of G(Diego)G(\text{Diego}).

2. Solution Steps

a. The expression G(Jada)=4G(\text{Jada}) = 4 means that when the input to the function GG is the name "Jada", the output is

4. This means the name "Jada" has 4 letters.

b. We need to find G(Diego)G(\text{Diego}). This means we need to count the number of letters in the name "Diego". The letters are D, I, E, G, O. There are 5 letters. Therefore, G(Diego)=5G(\text{Diego}) = 5.

3. Final Answer

a. G(Jada)=4G(\text{Jada}) = 4 means that the name "Jada" has 4 letters.
b. G(Diego)=5G(\text{Diego}) = 5.

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