SOLUTION: if g(x) =2 - x squared , then find g(3 + h) - g(3) over h

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Question 210793: if g(x) =2 - x squared , then find g(3 + h) - g(3) over h

Found 2 solutions by algebrapro18, stanbon:
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
%28g%283%2Bh%29-g%283%29%29%2F%28h%29
=%282-%283%2Bh%29%5E2-%282-3%5E2%29%29%2F%28h%29
=%282-%289%2B6h%2Bh%5E2%29-%282-9%29%29%2F%28h%29
=%282-9-6h-h%5E2-2-9%29%2F%28h%29
=%28-6h-h%5E2%29%2F%28h%29
=-6-h

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if g(x) =2 - x squared , then find g(3 + h) - g(3) over h
-----------------
g(3) = 2-9 = -7
g(3+h) = 2-(3+h)^2
g(3+h) = 2-9-6h-h^2
g(3+h) = -7-6h-h^2
----------------------------
Then g(3+h)-g(3) = -6h-h^2
And [g(3+h)-g(3)]/h = -6-h
===============================
Cheers,
Stan H.