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 = 

Let's solve the expression step by step:

Given the functions:

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

We are asked to find the value of:

\[
f(2) - g(-2)
\]

### Step 1: Find \( f(2) \)

To find \( f(2) \), substitute \( x = 2 \) into the function \( f(x) \):

\[
f(2) = 3(2) - 3 = 6 - 3 = 3
\]

### Step 2: Find \( g(-2) \)

To find \( g(-2) \), substitute \( x = -2 \) into the function \( g(x) \):

\[
g(-2) = -(-2)^2 + 4 = -(4) + 4 = -4 + 4 = 0
\]

### Step 3: Calculate \( f(2) - g(-2) \)

Now, subtract \( g(-2) \) from \( f(2) \):

\[
f(2) - g(-2) = 3 - 0 = 3
\]

### Final Answer:
\[
f(2) - g(-2) = 3
\]

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Would you like any further explanation or details on this? 

Here are 5 related questions you can explore:
1. What is the composition of the functions \( f(x) \) and \( g(x) \)?
2. How would the value of \( f(2) - g(-2) \) change if the functions were modified?
3. How do you evaluate a function at a specific point like \( g(-2) \)?
4. What is the general method for finding \( f(a) - g(b) \) for any functions?
5. How can we graph the functions \( f(x) \) and \( g(x) \)?

Tip: Always remember to plug in the exact values for \( x \) in each function and simplify carefully.

If f(x) = 3x - 3 and g(x) = -x^2 + 4, then f(2) - g(-2) = ?

Learn how to evaluate the functions f(x) = 3x - 3 and g(x) = -x^2 + 4 at specific points and calculate the expression f(2) - g(-2). This problem involves basic function evaluation and arithmetic, suitable for students in Grades 7-9.

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