SOLUTION: given g(x)=-4x^2-5x+3, find and simpifly as much as possible...g(x+h)-g(x)/h

Question 706231: given g(x)=-4x^2-5x+3, find and simpifly as much as possible...g(x+h)-g(x)/h
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
given g(x)=-4x^2-5x+3, find and simpifly as much as possible...g(x+h)-g(x)/h
.
First, find g(x+h):
g(x+h)=-4(x+h)^2-5(x+h)+3
g(x+h)=-4(x+h)(x+h)-5(x+h)+3
g(x+h)=-4(x^2+2hx+h^2)-5x-5h+3
g(x+h)=-4x^2-8hx-4h^2-5x-5h+3
.
g(x+h)-g(x)/h
can then be rewritten as:
[[-4x^2-8hx-4h^2-5x-5h+3] - [-4x^2-5x+3]]/h
[-4x^2-8hx-4h^2-5x-5h+3 + 4x^2+5x-3]/h
[-8hx-4h^2-5x-5h+3 + 5x-3]/h
[-8hx-4h^2-5h+3 -3]/h
[-8hx-4h^2-5h]/h
-8h-4h-5

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