Answer:
f(x+h) = 4x² +8xh +4h² -9x -9h +7
Explanation:
Put (x+h) where x is in the original definition of f(x):
f(x+h) = 4(x+h)² -9(x+h) +7
It is a little hard to tell what "do not factor" means, and whether this is considered to be a factored form.
If we expand the above, we get ...
f(x+h) = 4x² +8xh +4h² -9x -9h +7