Ew. Composition of functions. Ok, f(g(x)) is what that fancy notation means. So, you would take g(x) & substitute that into wherever x is in f(x). So we get something crazy like f(x)= 4 - (.5x - 2)^2 Now, we foil out the squared quantity: f(x)= 4 - (.25x^2 - x - x + 4) Can you believe they call that simplification? f(x)= 4 - .25x^2 + 2x -4 Almost there... f(x)= -.25x^2 + 2x Hope this helps!