Using the graph on the right, find the value of the following.
(f-g)(1)
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