Ask Me Help Desk - Function notation

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Function notation

if f(x)= X(squared)+2x+5

Then f(x+h) = ?

Just plug x+h in for x in your function and simplify.

$(x+h)^{2}+2(x+h)+5$

Do you have to go further and find the derivative via the definition?

That is, $\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$

Thanks!

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