The values of the composite functions are:
f(g(4)) = 2
the value of g(f(2)) is 9.
the value of f(f(3)) is 5.
the value of g(g(8)) is 9.
How value of a composite function can be determined.
In the table of values provide
The first column are x values
second column are f(x) values
Third column are g(x) values
We first find value of the inner function (g(x) for f(g(x))) and then find value of outer function (f(x) for f(g(x)))
a) f(g(4))
From the table
g(4) = 3
then
f(3) = 2
so, f(g(4)) = 2
b) g(f(2))
f(2) = 5
then,
g(5) = 9
Therefore, the value of g(f(2)) is 9.
c) f(f3))
f(3) = 2
then,
f(2) = 5
Therefore, the value of f(f(3)) is 5.
d) find the value of g(g(8))
g(8) = 5
then,
g(5) = 9
so, the value of g(g(8)) is 9.
Therefore, f(g(4)) = 2
the value of g(f(2)) is 9.
the value of f(f(3)) is 5.
the value of g(g(8)) is 9.