SOLUTION: for g(x)=x^2+3x+3, find and simplify g(5+h)-g(5).

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Question 782297: for g(x)=x^2+3x+3, find and simplify g(5+h)-g(5).
Found 2 solutions by jim_thompson5910, Gogonati:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=x%5E2%2B3x%2B3

g%285%2Bh%29=%285%2Bh%29%5E2%2B3%285%2Bh%29%2B3

g%285%2Bh%29=25%2B10h%2Bh%5E2%2B15%2B3h%2B3

g%285%2Bh%29=h%5E2%2B13h%2B43

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g%28x%29=x%5E2%2B3x%2B3

g%285%29=%285%29%5E2%2B3%285%29%2B3

g%285%29=25%2B15%2B3

g%285%29=43

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g%285%2Bh%29-g%285%29+=+%28h%5E2%2B13h%2B43%29+-+%2843%29

g%285%2Bh%29-g%285%29+=+h%5E2%2B13h%2B43+-+43

g%285%2Bh%29-g%285%29+=+h%5E2%2B13h

Answer by Gogonati(855) About Me  (Show Source):