State the domain of these functions :
`g:xto(x)/(1),x in{2,4,6}`

Answer

To find the domain of the function \( g: x \to \frac{x}{1} \) where \( x \) belongs to the set \{2, 4, 6\}, we can follow these steps:

### Step 1: Understand the Function
The function \( g(x) = \frac{x}{1} \) simplifies to \( g(x) = x \). This means that for any input \( x \), the output will be the same as the input.

**Hint:** Remember that the function simply returns the value of \( x \) since dividing by 1 does not change the value.

### Step 2: Identify the Set of Values for \( x \)
The problem states that \( x \) belongs to the set \{2, 4, 6\}. This means we are only considering these specific values for \( x \).

**Hint:** Look for the specific values given in the problem statement to determine the allowed inputs.

### Step 3: Determine the Domain
The domain of a function is the complete set of possible values of the independent variable (in this case, \( x \)) for which the function is defined. Since \( g(x) \) is defined for \( x = 2, 4, 6 \), these are the only values we consider.

**Hint:** The domain is simply the set of values that \( x \) can take according to the problem.

### Conclusion
Thus, the domain of the function \( g \) is the set \{2, 4, 6\}.

**Final Answer:** The domain of the function \( g \) is \{2, 4, 6\}.

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