I want to know how to solve this question;
If f(x)=x-x^2,
find f(2+h), f(x+h), and f(x+h)-f(x)/h, where h≠0.
by 
Lizi8848
ANSWERS: 1
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Important: When substituting a full expression for a variable place that expression inside of parentheses If f(x)=x-x² find f(2+h) Solution f(2+h) = (2 + h) - (2+h)² and that equals 2+ h - 2 - 4h - h² = -3h - h² f(x+h) f(x+h) = (x + h) - (x+h)² and that equals x + h - x² - 2xh - h² = x+h -x² -2xh - h² and f(x+h)-f(x)/h, where h≠0. That is [x+h -x²- 2xh - h²] - [x - x²] ------------------------- h = x+ h - x² - 2xh - h² - x + x² ---------------------------------- h = h - 2xh - h² ---------------------------------- h
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