Consider the following table of values for real valued functions f(x) and g(x).
x 1 2 3 4
f(x) 3 1 4 2
g(x) 4 1 3 5
Find f o g(1) where o denotes function composition.
f(g(1)) = f(4) = 2
To find f o g(1), we need to substitute the value of g(1) into f(x) and evaluate it.
Given that g(x) = 4, 1, 3, 5, we can see that g(1) = 4.
Now, we substitute the value 4 into f(x) to find f o g(1):
f o g(1) = f(g(1)) = f(4)
Looking at the table of values for f(x), we can see that when x = 4, f(x) = 2.
Therefore, f o g(1) = f(4) = 2.