SOLUTION: given f(x+h)-f(x)/h where h is not zero.find and simplify the difference quotient for the following function f(-3x^2+9x+3) 2. find the difference quotient for the function f

Algebra ->  Functions -> SOLUTION: given f(x+h)-f(x)/h where h is not zero.find and simplify the difference quotient for the following function f(-3x^2+9x+3) 2. find the difference quotient for the function f      Log On


   

Question 211336: given f(x+h)-f(x)/h where h is not zero.find and simplify the difference quotient for the following function f(-3x^2+9x+3)

2. find the difference quotient for the function f(x)=4x+3


these are two different ouestions.












9
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. given f(x+h)-f(x)/h where h is not zero.find and simplify the difference quotient for the following function f(x) = (-3x^2+9x+3)
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The easiest way to do these is to write f(x+h) and f(x) on different lines:
f(x+h) = -3(x+h)^2 + 9(x+h) + 3
f(x+h) = -3x^2 - 6hx -3h^2 + 9x + 9h + 3
f(x) = -3x^2 + 9x + 3
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Subtract:
f(x+h)-f(x) = -6hx -3h^2 + 9h
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Divide by h to get the answer:
[f(x+h)-f(x)]/h = -6x -3h + 9
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I'll leave the 2nd problem to you.
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Cheers,
Stan H.



2. find the difference quotient for the function f(x)=4x+3