14. Add the functions: f(x) +g(x) where f(x) = -3x+6 and g(x) = 4x-2, %3D %3D h(x) = f(x) + g(x) = %3D %3D

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Answer the questions showing all work.**

14. Add the functions: \( f(x) + g(x) \) where \( f(x) = -3x + 6 \) and \( g(x) = 4x - 2 \).

   \( h(x) = f(x) + g(x) = \)

15. Subtract the functions: \( f(x) - g(x) \) where \( f(x) = -3x + 6 \) and \( g(x) = 4x - 2 \).

   \( h(x) = f(x) - g(x) = \)

16. Multiply the functions: \( f(x) \times g(x) \) where \( f(x) = -3x + 6 \) and \( g(x) = 4x - 2 \).

   \( h(x) = f(x) \times g(x) = \)

17. Divide the functions: \( \frac{f(x)}{g(x)} \) where \( f(x) = 5x - 4 \) and \( g(x) = x + 4 \).

18. Add the functions: \( f(x) + g(x) \) where \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \).

   \( h(x) = f(x) + g(x) = \)
Transcribed Image Text:**Answer the questions showing all work.** 14. Add the functions: \( f(x) + g(x) \) where \( f(x) = -3x + 6 \) and \( g(x) = 4x - 2 \). \( h(x) = f(x) + g(x) = \) 15. Subtract the functions: \( f(x) - g(x) \) where \( f(x) = -3x + 6 \) and \( g(x) = 4x - 2 \). \( h(x) = f(x) - g(x) = \) 16. Multiply the functions: \( f(x) \times g(x) \) where \( f(x) = -3x + 6 \) and \( g(x) = 4x - 2 \). \( h(x) = f(x) \times g(x) = \) 17. Divide the functions: \( \frac{f(x)}{g(x)} \) where \( f(x) = 5x - 4 \) and \( g(x) = x + 4 \). 18. Add the functions: \( f(x) + g(x) \) where \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \). \( h(x) = f(x) + g(x) = \)
Here is a transcription of the exercise content, suitable for an educational website:

---

**18. Add the functions:**

Given the functions \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \),

calculate \( h(x) = f(x) + g(x) = \_\_\_\_ \)

---

**19. Subtract the functions:**

Given the functions \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \),

calculate \( h(x) = f(x) - g(x) = \_\_\_\_ \)

---

**20. Multiply the functions:**

Given the functions \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \),

calculate \( h(x) = f(x) \cdot g(x) = \_\_\_\_ \)

---

**21. Divide the functions:**

Given the functions \( f(x) = 5x - 2 \) and \( g(x) = x - 4 \),

calculate \( h(x) = \frac{f(x)}{g(x)} = \_\_\_\_ \)

---

No graphs or diagrams are included with this exercise set.
Transcribed Image Text:Here is a transcription of the exercise content, suitable for an educational website: --- **18. Add the functions:** Given the functions \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \), calculate \( h(x) = f(x) + g(x) = \_\_\_\_ \) --- **19. Subtract the functions:** Given the functions \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \), calculate \( h(x) = f(x) - g(x) = \_\_\_\_ \) --- **20. Multiply the functions:** Given the functions \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \), calculate \( h(x) = f(x) \cdot g(x) = \_\_\_\_ \) --- **21. Divide the functions:** Given the functions \( f(x) = 5x - 2 \) and \( g(x) = x - 4 \), calculate \( h(x) = \frac{f(x)}{g(x)} = \_\_\_\_ \) --- No graphs or diagrams are included with this exercise set.
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The given function is fx=-3x+6  and  gx=4x-2.

 

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