SOLUTION: Find f (a), f (a + h), and the difference quotient for the function given below, where h does not equal 0.
f (x) = 5x2 + 9
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Question 503229: Find f (a), f (a + h), and the difference quotient for the function given below, where h does not equal 0.
f (x) = 5x2 + 9
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x) = 5x^2 + 9
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f(a+h) = 5(a+h)^2+9
= 5[a^2+2ha+h^2]+9
= 5a^2+10ha+5h^2+9
-------------------------
f(a) = 5a^2+9
------
[f(a+h)-f(a)] = 10ha+5h^2
---------------
[f(a+h)-f(a)]/h = 10a+5h
===========================
Cheers,
Stan H.
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