To find $(g - f)(-7)$, we need to calculate:

$(g - f)(x) = g(x) - f(x)$

We are given:

• $f(x) = -9$
• $g(x) = -10 + x$

Now, let's compute $(g - f)(-7)$.

1. First, calculate $g(-7)$: $g(-7) = -10 + (-7) = -10 - 7 = -17$

2. Next, since $f(x) = -9$ for all $x$, $f(-7) = -9$.

3. Now, compute $(g - f)(-7)$: $(g - f)(-7) = g(-7) - f(-7) = -17 - (-9) = -17 + 9 = -8$

Thus, $(g - f)(-7) = -8$.

Would you like any additional explanation or details?

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Here are 5 related questions for further exploration:

1. What is the value of $(g + f)(-7)$?
2. Can you find the value of $g(-10)$?
3. If $f(x) = -9$ for all $x$, is $f(x)$ a constant function?
4. How does the graph of $g(x) = -10 + x$ look?
5. Can you solve for $x$ if $g(x) = 0$?

Tip: When subtracting functions, always remember to subtract the values of each function at the same point $x$.