If f(x) is an identity function, then f(5) is equal to

Options

A. 0
B. `(1)/(5)`
C. 1
D. 5

Answer

To solve the problem, we need to understand what an identity function is and how it operates.

### Step-by-Step Solution:

1. **Definition of Identity Function**:
An identity function is defined as a function that always returns the same value that was used as its input. Mathematically, it can be expressed as:
\[ f(x) = x \quad \text{for all } x \text{ in the domain of } f. \]

2. **Identifying the Function**:
Given that \( f(x) \) is an identity function, we can directly apply the definition. This means:
\[ f(5) = 5. \]

3. **Conclusion**:
Therefore, the value of \( f(5) \) is:
\[ f(5) = 5. \]

### Final Answer:
Thus, \( f(5) \) is equal to **5**.

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