SOLUTION: If f=( (2,-1),(-3,0),(4,1/2),(pie,2) ) and g = ( (2,2),(-1,4),(0,0) ) find the following: f(2) + g(2)

Algebra ->  Functions -> SOLUTION: If f=( (2,-1),(-3,0),(4,1/2),(pie,2) ) and g = ( (2,2),(-1,4),(0,0) ) find the following: f(2) + g(2)      Log On


   



Question 35501This question is from textbook
: If f=( (2,-1),(-3,0),(4,1/2),(pie,2) ) and g = ( (2,2),(-1,4),(0,0) ) find the following:
f(2) + g(2)
This question is from textbook

Found 2 solutions by rapaljer, Prithwis:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
In this problem, you are given
f={ (2,-1),(-3,0),(4,1/2),(pie,2) } and
g = { (2,2),(-1,4),(0,0) } .
This is going to be a LOT easier than it looks:

f(2) = -1
g(2) = 2

Therefore, f(2) + g(2) = -1 +2 = 1.

That was really easy if you understood functional notation. However, some people might not understand this. It might be appropriate to include a few more details in the explanation. When you say f(x) or g(x), then the number that goes inside the parentheses is x, and the value that results is y. In other words, y = f(x) or y = g(x).

So, in this example, you had two sets of points, and when a pair of numbers is given, the first number ALWAYS represents x, and the second number ALWAYS represents y (they are in alphabetical order in case you forget). If you said (2, -1) this means that x = 2 and y = -1. If you said, (2,2), this means that x= 2 and y = 2. So, iin this problem, they gave you two sets of numbers, and the first set is called f(x), and the second set is called g(x). If you want to find the value of f(2), then go to the "f" set, and look for the pair of numbers where the first number is 2. This means that x= 2. Remember, x is the first number, and y is the second number. So, f(2) in this problem is -1.

In this problem, you only used TWO of the points. The rest of this information is irrelevant to this problem. It probably applies to other problems in this exercise.

R^2 at SCC

Answer by Prithwis(166) About Me  (Show Source):
You can put this solution on YOUR website!
f(2) = -1
g(2) = 2
So, f(2) + g(2) = -1 +2 = 1.