SOLUTION: Let f be the function defined by f = {(−3, 8), (−2, 9), (−1, 2), (0, 9), (1, 4), (2, 3), (3, −3)} and let g be the function defined g = {(−3, &#872

Algebra ->  Functions -> SOLUTION: Let f be the function defined by f = {(−3, 8), (−2, 9), (−1, 2), (0, 9), (1, 4), (2, 3), (3, −3)} and let g be the function defined g = {(−3, &#872      Log On


   



Question 1078668: Let f be the function defined by
f = {(−3, 8), (−2, 9), (−1, 2), (0, 9), (1, 4), (2, 3), (3, −3)}
and let g be the function defined
g = {(−3, −1), (−2, 1), (−1, −9), (0, 2), (1, −3), (2, 8), (3, 2)}.
Find the following value if it exists.
(f ○ g)(3)

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Rule:

If the ordered pair (a, b) is contained in a function F,
then F(a) = b

---------------------------

(f∘g)(3) means f%28%22g%283%29%22%5E%22%22%29

Now since the ordered pair (3, 2) is contained in function g,
we know that g(3) = 2.

So (f∘g)(3) %22%22=%22%22f%28%22g%283%29%22%5E%22%22%29%22%22=%22%22f%282%5E%22%22%29

Now since the ordered pair (2, 3) is contained in function f,

we know that f%282%5E%22%22%29%22%22=%22%223

So altogether

 (f∘g)(3) %22%22=%22%22f%28%22g%283%29%22%5E%22%22%29%22%22=%22%22f%282%5E%22%22%29%22%22=%22%223

Edwin