SOLUTION: Suppose f(x) = x 2 + 3x + 8. Evaluate and fully simplify f(x + h) − f(x) ___________ ____

Algebra ->  Functions -> SOLUTION: Suppose f(x) = x 2 + 3x + 8. Evaluate and fully simplify f(x + h) − f(x) ___________ ____       Log On


   

Question 1036959: Suppose f(x) = x
2 + 3x + 8. Evaluate and fully simplify f(x + h) − f(x)
________________
h
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The Carriage Return is not the thing you want between the x and the 2.


What are you trying to express?
---------
f(x) = x
2 + 3x + 8.

Evaluate and fully simplify f(x + h) − f(x)
________________
h
----------


Figuring what you might really want took some time.
f(x)=x^2+3x+8
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Evaluate (f(x+h)-f(x))/h
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Upon rendering tags added,
f%28x%29=x%5E2%2B3x%2B8
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Evaluate %28f%28x%2Bh%29-f%28x%29%29%2Fh


Form the parts of the Difference Quotient into place.
The start of that looks like this: %28%28x%2Bh%29%5E2%2B3%28x%2Bh%29%2B8-%28x%5E2%2B3x%2B8%29%29%2Fh.

Now the task to do is to simplify this Difference Quotient.