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The given function is \( f(x) = 7x + 2 \).

You are asked to find the value of \( f(x) \) when \( x = 4 \).

To do this, substitute \( x = 4 \) into the function:

\[
f(4) = 7(4) + 2
\]

\[
f(4) = 28 + 2 = 30
\]

Thus, the value of \( f(x) \) when \( x = 4 \) is 30.

Would you like more details or have any other questions?

Here are 5 related questions to expand your understanding:
1. What is the general process for evaluating a function at a given \( x \)-value?
2. How does the slope \( 7 \) in the equation \( f(x) = 7x + 2 \) affect the graph of the function?
3. What is the value of \( f(x) \) when \( x = -1 \) for the same function?
4. Can you determine the inverse of the function \( f(x) = 7x + 2 \)?
5. How would you graph the linear function \( f(x) = 7x + 2 \)?

**Tip**: For linear functions like \( f(x) = 7x + 2 \), the coefficient of \( x \) (in this case, 7) represents the slope, and the constant term (2) represents the y-intercept.

The function f is defined by the equation f(x) = 7x + 2. What is the value of f(x) when x = 4?

Learn how to evaluate the linear function f(x) = 7x + 2 at x = 4. This problem demonstrates key algebraic concepts and helps students in Grades 6-8 practice solving basic linear functions.

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