To solve the function $f(x) = 3x - 7$ for $x = 35$ and $x = 100$, we need to substitute the values of $x$ into the function and calculate the results.

1. For $x = 35$: $f(35) = 3(35) - 7$ $f(35) = 105 - 7$ $f(35) = 98$

2. For $x = 100$: $f(100) = 3(100) - 7$ $f(100) = 300 - 7$ $f(100) = 293$

So, the solutions are:

• $f(35) = 98$
• $f(100) = 293$

Would you like any further details or have any questions?

Here are some related questions to expand your understanding:

1. How would you solve $f(x) = 3x - 7$ 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 constant term was different, say $f(x) = 3x + 5$?
4. What is the inverse function of $f(x) = 3x - 7$?
5. How does the slope of the function $f(x) = 3x - 7$ compare to other linear functions?
6. What are the intercepts of the function $f(x) = 3x - 7$?
7. How do you graph the function $f(x) = 3x - 7$?
8. What is the domain and range of the function $f(x) = 3x - 7$?

Tip: Always double-check your calculations to ensure accuracy, especially when substituting values into functions.