To solve the function \( f(x) = 5x - 7 \) for \( x = 35 \), substitute \( x = 35 \) into the function and calculate the result:

\[
f(35) = 5(35) - 7
\]
\[
f(35) = 175 - 7
\]
\[
f(35) = 168
\]

So, the value of \( f(35) \) is 168.

Would you like any further details or have any questions?

Here are some related questions to expand your understanding:

1. How would you solve \( f(x) = 5x - 7 \) for a general value of \( x \)?
2. What is the value of \( f(x) \) when \( x = 0 \)?
3. How would the function change if the coefficient of \( x \) was different, say \( f(x) = 3x - 7 \)?
4. What is the inverse function of \( f(x) = 5x - 7 \)?
5. How does the slope of the function \( f(x) = 5x - 7 \) compare to other linear functions?
6. What are the intercepts of the function \( f(x) = 5x - 7 \)?
7. How do you graph the function \( f(x) = 5x - 7 \)?
8. What is the domain and range of the function \( f(x) = 5x - 7 \)?

**Tip:** When working with linear functions, remember that the coefficient of \( x \) represents the slope of the line, and the constant term represents the y-intercept.

Learn how to find the value of f(x) = 5x - 7 when x = 35 with a detailed step-by-step solution. This problem covers linear functions and substitution in algebra, suitable for students in Grades 7-9.

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