Asked by Aziz
For f(x)=2x^2-4x+3 find f(x+h)-f(x)
Answers
Answered by
Reiny
f(x)=2x^2-4x+3
f(x+h) = 2(x+h)^2 - 4(x+h) + 3
= 2(x^2 + 2hx + h^2) - 4x - 4h + 3
= 2x^2 + 4hx + 2h^2 - 4x - 4h + 3
f(x+h)-f(x)
= 2x^2 + 4hx + 2h^2 - 4x - 4h + 3 - 2x^2 + 4x - 3
= 4hx + 2h^2 - 4h
notice all the "non-h" terms dropped out.
This MUST always happen.
If you find any terms without an "h", you made an error
f(x+h) = 2(x+h)^2 - 4(x+h) + 3
= 2(x^2 + 2hx + h^2) - 4x - 4h + 3
= 2x^2 + 4hx + 2h^2 - 4x - 4h + 3
f(x+h)-f(x)
= 2x^2 + 4hx + 2h^2 - 4x - 4h + 3 - 2x^2 + 4x - 3
= 4hx + 2h^2 - 4h
notice all the "non-h" terms dropped out.
This MUST always happen.
If you find any terms without an "h", you made an error
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.