Latasha S.
asked • 04/09/24For the function f(x)=−3x^2+3x+1, evaluate and fully simplify each of the following.
f(x+h)=
f(x+h) -f(x)/h
Raymond B. answered • 04/09/24
Math, microeconomics or criminal justice
f(x) =-3x^2 +3x+1
f(x+h) = -3(x+h)^2 + 3(x+h) +1 = 3(x^2+2xh+h^2) +3x +3h +1
= 3x^2 + 6xh +3h^2 +3x+3h+1
f(x+h)- f(x) = 6xh +3h^2 +3h
(f(x+h)-f(x))/h = 6x +3h +3
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f(x) =-3x^2 +3x+1 f(x+h) = -3(x+h)^2 + 3(x+h) +1 = 3(x^2+2xh+h^2) +3x +3h +1 = 3x^2 + 6xh +3h^2 +3x+3h+1 f(x+h)- f(x) = 6xh +3h^2 +3h (f(x+h)-f(x))/h = 6x +3h +304/18/24