Answer:
f(g(4)) = f(5) = 4
g(f(0)) = g(1) = 4
f(f(3)) = f(0) = 1
g(g(5)) = g(1) = 4
Explanation:
Here's an explanation of the first problem.
f(g(4)) means function f(x) evaluated at g(4). g(4) is simply the value of function g(x) when x = 4. First, look up the graph of function g(x) to find what g(4) is. g(4) = 5. Now look up f(5) in the graph of function f(x). f(5) = 4.
Do the same for the other problems. Find the value of the inner function first, then use that value in the outer function.
f(g(4)) = f(5) = 4
g(f(0)) = g(1) = 4
f(f(3)) = f(0) = 1
g(g(5)) = g(1) = 4