Asked by ALICE
For the Function f(x)=2x²−2x+6, simplify problems A) & B)
A) f(x+h)
B) (f(x+h)−f(x))/h
Please explain the steps you used.
A) f(x+h)
B) (f(x+h)−f(x))/h
Please explain the steps you used.
Answers
Answered by
Damon
A)
2(x+h)^2 -2(x+h) + 6
2(x^2 + 2 xh + h^2)-2x-2h +6
2x^2+4xh+2h^2-2x-2h+6
B)
[2x^2+4xh+2h^2-2x-2h+6-2x^2+2x-6]/h
[4xh+2h^2-2h]/h
4x + 2h - 2
note when h -->0 this becomes 4x-2
2(x+h)^2 -2(x+h) + 6
2(x^2 + 2 xh + h^2)-2x-2h +6
2x^2+4xh+2h^2-2x-2h+6
B)
[2x^2+4xh+2h^2-2x-2h+6-2x^2+2x-6]/h
[4xh+2h^2-2h]/h
4x + 2h - 2
note when h -->0 this becomes 4x-2
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