Let's solve each function step-by-step to find the four-letter answer code.

Functions Provided:

1. $f(x) = x^2$
2. $h(x) = 4x$
3. $g(x) = x + 5$

Questions to Solve:

1. Evaluate $f(-5)$
2. Evaluate $g(-12)$
3. Evaluate $h(-9)$
4. Evaluate $f(4)$

Step-by-Step Calculations:

1. $f(-5)$

Using $f(x) = x^2$: $f(-5) = (-5)^2 = 25$ Answer: 25 (C)

2. $g(-12)$

Using $g(x) = x + 5$: $g(-12) = -12 + 5 = -7$ Answer: -7 (I)

3. $h(-9)$

Using $h(x) = 4x$: $h(-9) = 4 \times -9 = -36$ Answer: -36 (B)

4. $f(4)$

Using $f(x) = x^2$: $f(4) = 4^2 = 16$ Answer: 16 (H)

Answer Code

Now we can match each result with the answer choices:

• $f(-5) = 25$ → C
• $g(-12) = -7$ → I
• $h(-9) = -36$ → B
• $f(4) = 16$ → H

So, the final answer code is: CIBH

Would you like further details on any of the steps or have any questions?

Related Questions

1. What would $h(10)$ be if we used $h(x) = 4x$?
2. How would the answer change if $f(x) = x^3$ instead?
3. Can we determine the function $k(x)$ if $k(x) = x - 5$ and $k(-7) = ?$?
4. How do we interpret results if negative values appear in function outputs?
5. What steps would you follow to solve $g(x)$ for $x = 20$?

Tip

Always check the function definition before calculating; small changes in the function form (like $x^2$ vs. $x^3$) can lead to different results!