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).