f(3+h) - f(3)/h where f(x) = 4 +3x-x^2 evaluate the difference quotient. Please show work so i understand, thanks..
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Ok. Let's just start with the difference quotient equation.
[4 + 3(3+h) - (3+h)^2 - 4 - 3(3) + (3)^2] / h
[ 4 + 9 + 3h - 9 - 6h - h^2 - 4 - 9 + 9] / h
[-3h - h^2] / h
-3 - h is the answer.
[4 + 3(3+h) - (3+h)^2 - 4 - 3(3) + (3)^2] / h
[ 4 + 9 + 3h - 9 - 6h - h^2 - 4 - 9 + 9] / h
[-3h - h^2] / h
-3 - h is the answer.