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If f(x)=4x^2+x, find f(x+h)-f(x)
Show work if you can pls

User Himanshu Mohan
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2 Answers

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22 votes

Answer:

F(x+h)=4(x+h)^2 + (x+h)

4(x^2 + 2xh + h^2) + (x+h)

4x^2 +8xh + 4h^2 + x + h

-4x^2 -x

Explanation:

I just did this in a test.

User Profpatsch
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12 votes
12 votes
F(x+h)=4(x+h)^2 + (x+h)
4(x^2 + 2xh + h^2) + (x+h)
4x^2 +8xh + 4h^2 + x + h
-4x^2 -x

Answer in different forms:
8xh +4h^2+h
h(8x+4h+1)
User Andrey Volk
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3.3k points