The function g(x)=(x-2^2. the function f(x)=g(x) +3

You don't provide the instructions for this problem, leaving it up to me to guess what you might want.

Note that g(x) should be written as g(x) = (x-2)^2, whereas f(x) = g(x) + 3 (as presented).

If we let g(x) be the input to f(x), we get the "composition" of g and f:

f(x) = g(x) + 3 = (x-2)^2 + 3.  You could leave the answer as is or you could expand (x-2)^2:  f(x) = x^2 - 4x + 4 + 3 (and so on).