ANSWER -
To find f(x+h), we need to substitute (x+h) for x in the equation f(x) = 4x² - 6x + 9.
f(x+h) = 4(x+h)² - 6(x+h) + 9
= 4x² + 8xh + 4h² - 6x - 6h + 9
= 4x² - 6x + 9 + 8xh + 4h² - 6h
= f(x) + 8xh + 4h² - 6h
So, f(x+h) = 4x² - 6x + 9 + 8xh + 4h² - 6h.