Given the function $f(x) = 10x - 3$, we are tasked with finding $f(5) - f(2)$.

Step 1: Find $f(5)$

$f(5) = 10(5) - 3 = 50 - 3 = 47$

Step 2: Find $f(2)$

$f(2) = 10(2) - 3 = 20 - 3 = 17$

Step 3: Compute $f(5) - f(2)$

$f(5) - f(2) = 47 - 17 = 30$

Thus, $f(5) - f(2) = 30$.

Would you like more details or have any other questions?

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Here are 5 related questions to further explore:

1. What is the derivative of $f(x) = 10x - 3$?
2. What is the value of $f(x)$ when $x = 0$?
3. Can you find the inverse of the function $f(x) = 10x - 3$?
4. What is the y-intercept of the function $f(x) = 10x - 3$?
5. If $f(x) = 10x - 3$, what is $f(x + 2) - f(x)$?

Tip: When dealing with linear functions like $f(x) = 10x - 3$, the slope (here 10) determines how fast the function grows or shrinks with changes in $x$.