Answer: f(g(2)) = 1 and g(f(1)) = 2
Explanation:
The equation of the parabola is f(x) = x² - 4x + 4
The equation of the line is g(x) = x + 1
To find f(g(2)), you must first find g(2)
g(2) = (2) + 1
g(2) = 3
Now find f(g(2)) by using 3 for g(2)
f(3) = (3)² - 4(3) + 4
f(3) = 9 - 12 + 4
f(3) = 1
f(g(2)) = 1
To find g(f(1)), you must first find f(1)
f(1) = (1)² - 4(1) + 4
f(1) = 1 - 4 + 4
f(1) = 1
Now find g(f(1)) by using 1 for f(1)
g(1) = (1) + 1
g(1) = 2
g(f(1)) = 2
Hope this helps!