Math Problem Statement

Use the graphs of y

f ( x ) y

f ( x ) and y

g ( x ) y

g ( x ) below to find the function value.

( f − g ) ( 1 ) ( f

g ) ( 1 )

Solution

To find the function value of (fg)(1)(f - g)(1), we need to follow these steps:

  1. Identify f(1)f(1): Find the value of the function f(x)f(x) at x=1x = 1 from the graph of y=f(x)y = f(x).
  2. Identify g(1)g(1): Find the value of the function g(x)g(x) at x=1x = 1 from the graph of y=g(x)y = g(x).
  3. Compute (fg)(1)(f - g)(1): Subtract g(1)g(1) from f(1)f(1).

Given that we do not have the actual graphs here, I will describe the process assuming hypothetical values for illustration purposes. You will need to extract the exact values from the graphs you have.

Example with Hypothetical Values

  1. Suppose from the graph, f(1)=3f(1) = 3.
  2. Suppose from the graph, g(1)=2g(1) = 2.

Then,

(fg)(1)=f(1)g(1)=32=1(f - g)(1) = f(1) - g(1) = 3 - 2 = 1

Please replace the hypothetical values f(1)=3f(1) = 3 and g(1)=2g(1) = 2 with the actual values from your graphs to get the correct result.

If you upload the graphs or describe the function values at x=1x = 1, I can provide the precise computation.

Do you want more details or have any questions?

Here are some questions you might want to ask:

  1. How do I determine the function values from a graph?
  2. What are some common mistakes to avoid when reading graphs?
  3. How can I check if my computed value is correct?
  4. Can you help me with another problem involving function subtraction?
  5. What if the graphs are not linear; how do I approach the problem then?

Tip: When working with graphs, ensure you accurately identify the points on the graph corresponding to the required x-values to avoid mistakes in reading the function values.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphical Analysis
Subtraction of Functions

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12