f(x+h) for the function f(x)= 3x^2-5x

Question

find f(x+h) for the function f(x)= 3x^2-5x

Answer 1

To find the f(x + h), replace each x in f(x) with (x + h)

f(x + h) = 3(x + h)² - 5(x + h)

f(x + h) = 3(x² + 2xh + h²) - 5x - 5h

f(x + h) = 3x² + 6xh + 3h² - 5x - 5h