If `f(x)=2` for all real numbers x, then `f(x+2)=`

Options

A. 0
B. 2
C. 3
D. x

Explanation

To solve the problem, we need to analyze the function given:

1. **Understanding the Function**: We are given that \( f(x) = 2 \) for all real numbers \( x \). This means that no matter what value of \( x \) we choose, the output of the function \( f \) will always be 2.

2. **Substituting \( x + 2 \)**: We need to find the value of \( f(x + 2) \). Since \( x + 2 \) is also a real number (because adding 2 to any real number \( x \) results in another real number), we can apply the same rule of the function.

3. **Applying the Function**: According to the definition of the function, since \( f(x) = 2 \) for all \( x \), we can say:
\[ f(x + 2) = 2 \]

4. **Conclusion**: Therefore, the value of \( f(x + 2) \) is also 2.

So, the final answer is:
\[ f(x + 2) = 2 \]