If f(x) = x^2-2x+1 and g(x) = sqrt{2x+1} what is the value of f(g(4)) - g(f(3))?
f(x) = x^2 - 2x + 1
g(x) = sqrt (2x + 1)
g(4) = sqrt(2 * 4 + 1) = sqrt (9) = 3
f(3) = (3)^2 - 2(3) + 1 = 4
So
f(g(4) ) - g(f(3) =
f(3) - g(4) =
4 - 3 =
1