If f left parenthesis x right parenthesis equals 3 x minus 3 and g left parenthesis x right parenthesis equals short dash x squared plus 4, then f left parenthesis 2 right parenthesis minus g left parenthesis short dash 2 right parenthesis = __________.

Given the functions:

- \( f(x) = 3x - 3 \)
- \( g(x) = -x^2 + 4 \)

We need to calculate \( f(2) - g(-2) \).

### Step 1: Calculate \( f(2) \)
Substitute \( x = 2 \) into the function \( f(x) \):
\[
f(2) = 3(2) - 3 = 6 - 3 = 3
\]

### Step 2: Calculate \( g(-2) \)
Substitute \( x = -2 \) into the function \( g(x) \):
\[
g(-2) = -(-2)^2 + 4 = -(4) + 4 = -4 + 4 = 0
\]

### Step 3: Subtract the results
\[
f(2) - g(-2) = 3 - 0 = 3
\]

So, \( f(2) - g(-2) = 3 \).

Would you like more details or have any questions?

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Here are some related questions you might find interesting:
1. What is \( f(-1) + g(1) \)?
2. Find the value of \( f(g(x)) \) for \( x = 1 \).
3. Determine the zeros of the function \( f(x) \).
4. What is the derivative of \( g(x) \) with respect to \( x \)?
5. Solve \( f(x) = g(x) \) for \( x \).

**Tip:** When dealing with function composition or operations, carefully substitute and simplify each step to avoid errors.

Explore how to calculate f(2) - g(-2) using functions f(x) = 3x - 3 and g(x) = -x^2 + 4. Step-by-step solution provided. Suitable for high school students.

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