he function f is defined by the equationf x x= 7 + 2( ) . What is the value of f x( ) whenx = 4 ?

1. ### Break Down the Problem

We need to evaluate the function $f(x) = 7 + 2x$ at $x = 4$.

2. ### Relevant Concepts

To find $f(4)$, we substitute $x$ with 4 in the given function.

3. ### Analysis and Detail

We substitute $x$ in the function: $f(4) = 7 + 2(4)$ Now we calculate $2(4)$: $2(4) = 8$ Now, substitute this back into the function: $f(4) = 7 + 8$

4. ### Verify and Summarize

Now we perform the final addition: $f(4) = 15$ Thus, the value of $f(x)$ when $x = 4$ is confirmed to be $15$.

Final Answer

$f(4) = 15$