SOLUTION: x | 0 | 1 | 2 | 3 | 4 f(x) | 3 | 4 | 0 | 2 | 1 g(x) | 2 | 1 | 3 | 4 | 0 Find each: a) f(f(4)) b) f(g(1)) c) for what "x" is "g(f(x))=4"?

Question 741080: x | 0 | 1 | 2 | 3 | 4
f(x) | 3 | 4 | 0 | 2 | 1
g(x) | 2 | 1 | 3 | 4 | 0
Find each:
a) f(f(4))
b) f(g(1))
c) for what "x" is "g(f(x))=4"?
Answer by only4christ2(12) (Show Source): You can put this solution on YOUR website!
Ok.... read the numbers in the parenthesis from the list of x values and follow down to the appropriate letter. Either f or g
a) f(4) is 1; and f(1)= 4; so f(f(4)) = 4
b) g(1) = 1 and f(1) = 4; so f(g(1)) = 4
c) for what x is g(f(x)) = 4....here, you have to work backwards.
Start with where g(x) = 4 and notice it is when x = 3
So, go to where f(x) = 3 and notice it is when x = 0
So, when x = 0, g(fx)) = 4
Proof:
f(0) = 3; g(3) = 4.

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