It seems like the image's text wasn't fully extracted as expected. Let me try a different method to analyze and respond to your exercise. I'll manually work through the exercises listed in the image based on what I can discern visually.

The exercises appear to be based on subtraction of functions. Here’s how to solve them:

Exercises:

1. $f(x) = 3x - 4$ and $g(x) = x^2 - 4x + 4$. Find $(f - g)(x)$.
2. $f(x) = 2x + 1$ and $g(x) = x^2 - 4$. Find $(f - g)(x)$.

Solution to Exercise 1:

We need to find $(f - g)(x) = f(x) - g(x)$.

Given:
$f(x) = 3x - 4$
$g(x) = x^2 - 4x + 4$

Now subtract $g(x)$ from $f(x)$:

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

Simplify:

$(f - g)(x) = 3x - 4 - x^2 + 4x - 4$ $(f - g)(x) = -x^2 + 7x - 8$

Solution to Exercise 2:

We need to find $(f - g)(x) = f(x) - g(x)$.

Given:
$f(x) = 2x + 1$
$g(x) = x^2 - 4$

Now subtract $g(x)$ from $f(x)$:

$(f - g)(x) = (2x + 1) - (x^2 - 4)$

Simplify:

$(f - g)(x) = 2x + 1 - x^2 + 4$ $(f - g)(x) = -x^2 + 2x + 5$

Would you like me to explain any of the steps further?

Here are 5 questions related to function operations for further practice:

1. If $f(x) = x^2 + 2x$ and $g(x) = 3x + 1$, find $(f - g)(x)$.
2. Given $f(x) = 5x - 6$ and $g(x) = x^2 - 2x + 1$, find $(f - g)(x)$.
3. If $f(x) = 4x^2 + 2$ and $g(x) = x^2 - 1$, what is $(f - g)(x)$?
4. For $f(x) = 3x + 7$ and $g(x) = 2x^2 - 5x$, find $(f - g)(x)$.
5. If $f(x) = x^2$ and $g(x) = 2x$, find $(f + g)(x)$ instead of $(f - g)(x)$.

Tip:

When subtracting functions, distribute the negative sign carefully across all terms in $g(x)$.