Use the graph to the right to evaluate the following expressions. (a) (f + g)(0) (b) (f-g)(-1) (c) (fg)(1) (d) (4) (2) (a) (f+g)(0) = (Simplify your answer.) O y 9(K) -10-8-6-4 10 y=100 6 8 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Transcription for Educational Website**

**Instructions:**
Use the graph to the right to evaluate the following expressions.

(a) \( (f + g)(0) \)

(b) \( (f - g)(-1) \)

(c) \( (fg)(1) \)

(d) \( \left(\frac{f}{g}\right)(2) \)

**Task:**
(a) \( (f + g)(0) = \) [____]  
(Simplify your answer.)

---

**Graph Explanation:**

The graph on the right displays two functions:

- \( y = f(x) \), represented by the blue line, which is a linear function.
- \( y = g(x) \), represented by the red curve, which is a quadratic function.

The graph is plotted on a coordinate plane with the x-axis and y-axis ranging from -10 to 10. It shows the intersection and various behaviors of these functions over different values of \( x \).

Analyze the graph carefully to determine the values of each function at the specified points and carry out the operations as instructed.
Transcribed Image Text:**Transcription for Educational Website** **Instructions:** Use the graph to the right to evaluate the following expressions. (a) \( (f + g)(0) \) (b) \( (f - g)(-1) \) (c) \( (fg)(1) \) (d) \( \left(\frac{f}{g}\right)(2) \) **Task:** (a) \( (f + g)(0) = \) [____] (Simplify your answer.) --- **Graph Explanation:** The graph on the right displays two functions: - \( y = f(x) \), represented by the blue line, which is a linear function. - \( y = g(x) \), represented by the red curve, which is a quadratic function. The graph is plotted on a coordinate plane with the x-axis and y-axis ranging from -10 to 10. It shows the intersection and various behaviors of these functions over different values of \( x \). Analyze the graph carefully to determine the values of each function at the specified points and carry out the operations as instructed.
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