For f(x) = - 3x, find the following

f(a + h) - f(a)

The answer to your question is:  2ah + h² - 3h

Step-by-step explanation:

Data

f(x) = x² - 3x

Find

f(a + h) - f(a)

Process

f(a + h) = (a + h)² - 3(a+ h)

f(a + h) = a² + 2ah + h² - 3a - 3h                     Substitution

f(a) = (a)² - 3(a) = a² - 3a

f(a + h) - f(a) = a² + 2ah + h² - 3a - 3h - ( a² - 3a )          Simplifying

f(a + h) - f(a) = a² + 2ah + h² - 3a - 3h - a² + 3a

f(a + h) - f(a) = 2ah + h² - 3h

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