https://file.aiquickdraw.com/mathbot/file/1728875715422g2tg17cy.jpg

Let's analyze the graphs and the questions.

You are given two graphs, \( y = f(x) \) on the left and \( y = g(x) \) on the right, and the following tasks:

### (a) \( (f - g)(2) \):
This means you need to calculate \( f(2) - g(2) \).
- Look at \( x = 2 \) on both graphs.
  - For \( f(x) \) (left graph), at \( x = 2 \), the function value is \( f(2) = 2 \).
  - For \( g(x) \) (right graph), at \( x = 2 \), the function value is \( g(2) = 3 \).
  
Thus, \( (f - g)(2) = f(2) - g(2) = 2 - 3 = -1 \).

### (b) \( (fg)(3) \):
This means you need to calculate \( f(3) \times g(3) \).
- Look at \( x = 3 \) on both graphs.
  - For \( f(x) \) (left graph), at \( x = 3 \), the function value is \( f(3) = 3 \).
  - For \( g(x) \) (right graph), at \( x = 3 \), the function value is \( g(3) = 2 \).

Thus, \( (fg)(3) = f(3) \times g(3) = 3 \times 2 = 6 \).

### Final Answers:
- (a) \( (f - g)(2) = -1 \)
- (b) \( (fg)(3) = 6 \)

Would you like further explanations or details on any part?

### Related Questions:
1. What is \( f(1) - g(1) \)?
2. How would you compute \( (fg)(1) \)?
3. Can you find \( f(0) - g(0) \)?
4. What is \( (f - g)(4) \)?
5. How do you calculate \( (fg)(0) \)?

### Tip:
Always make sure to read the values from the graph carefully, focusing on the corresponding \( y \)-values for the given \( x \)-coordinates.

Use the graphs of f and g to evaluate the functions: (a) (f - g)(2), (b) (fg)(3).

Learn how to use graphs to evaluate functions and solve problems like (f - g)(2) and (fg)(3). This guide walks you through reading function values from graphs and performing arithmetic operations. Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation