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 accurately solve for (fg)(1)(f - g)(1) using the provided graphs of y=f(x)y = f(x) and y=g(x)y = g(x), follow these steps:

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

Let's assume you have access to the graphs or you can upload them. I'll guide you through with hypothetical values as an example:

Hypothetical Example

  1. From the graph of y=f(x)y = f(x), suppose f(1)=4f(1) = 4.
  2. From the graph of y=g(x)y = g(x), suppose g(1)=2g(1) = 2.

Then,

(fg)(1)=f(1)g(1)=42=2(f - g)(1) = f(1) - g(1) = 4 - 2 = 2

Applying to Your Graphs

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

If you provide the actual graphs, I can give you the exact values. You can either describe the values you see on the graphs at x=1x = 1 or upload an image of the graphs.

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, always use a ruler or a straight edge to accurately determine the points corresponding to specific x-values to avoid errors.