Given f(x)=5x+2 and g(x)=3x^2-4x, evaluate f(f(1))-g(g(2)).
f(1) = 5(1) + 2 = 7
So .... f (f(1)) = f(7) = 5(7) + 2 = 37
g(2) = 3(2)^2 - 4(2) = 4
So .... g(g(2) ) = g(4) = 3(4)^2 - 4(4) = 32
So
f(f(1)) - g (g (2) ) =
37 - 32 =
5
