Suppose f(-3) = 7 and g(-3) = -2.
1. (f- g) (-3) =
2. (fg)(-3) =
3.（g/f）（-3）
4. (f/g) (-3)=
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A decimal is not an acceptable answer.
A decimal is not an acceptable answer.

Given the values \( f(-3) = 7 \) and \( g(-3) = -2 \), let's solve the following expressions:

### 1. \( (f - g)(-3) = f(-3) - g(-3) \)
\[
(f - g)(-3) = 7 - (-2) = 7 + 2 = 9
\]

### 2. \( (fg)(-3) = f(-3) \cdot g(-3) \)
\[
(fg)(-3) = 7 \cdot (-2) = -14
\]

### 3. \( \left(\frac{g}{f}\right)(-3) = \frac{g(-3)}{f(-3)} \)
\[
\left(\frac{g}{f}\right)(-3) = \frac{-2}{7}
\]

### 4. \( \left(\frac{f}{g}\right)(-3) = \frac{f(-3)}{g(-3)} \)
\[
\left(\frac{f}{g}\right)(-3) = \frac{7}{-2} = -\frac{7}{2}
\]

### Summary of answers:
1. \( (f - g)(-3) = 9 \)
2. \( (fg)(-3) = -14 \)
3. \( \left(\frac{g}{f}\right)(-3) = \frac{-2}{7} \)
4. \( \left(\frac{f}{g}\right)(-3) = -\frac{7}{2} \)

Would you like more details on any step?

Here are five related questions to explore further:
1. What is \( f(x) - g(x) \) for any value of \( x \)?
2. How do you calculate the product of two functions \( f(x) \) and \( g(x) \)?
3. How would you interpret the quotient of two functions graphically?
4. Can you express \( (fg)(x) \) in terms of function compositions?
5. What are the conditions when the division of two functions is undefined?

**Tip:** When dividing two functions, always check if the denominator function is zero at the point you're evaluating to avoid undefined results.

Suppose f(-3) = 7 and g(-3) = -2.
1. (f - g)(-3) = ?
2. (fg)(-3) = ?
3. (g/f)(-3) = ?
4. (f/g)(-3) = ?

Solve function operations using f(-3) = 7 and g(-3) = -2. Learn how to calculate (f - g)(-3), (fg)(-3), (g/f)(-3), and (f/g)(-3) step by step. This algebra problem focuses on core concepts like function addition, multiplication, and division, ideal for Grades 9-11.

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