Problem 670

Using the graph on the right, find the value of the following.

(f-g)(1)

graph

 

Solution:-

If f(x) represent one function, g(x) represent a second function, and x is in the domain of both function, then

(g – f) (x) = g(x) – f(x).

The procedure to find g(1) – f(1) involves three steps.

1. Evaluate g(1).

2. Evaluate f(1).

3. Subtract the value, g(1) – f(1).

 

 

1. To find the value, g(1), use the graph.

g(1) = -1

 

2. To find the value, f(1), use the graph.

f(1) = 2

 

3. Subtract the values to find the final answer.

(g – f) (1) = -3

 

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