function of g(x)=5x^2+7

Question

express the slope od the secant line in terms of x and h

Answer 1

Difference quotient???

 

 

g(x+h) - g(x)

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         h

 

 

5(x+h)² + 7 - (5x² + 7)

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                h

 

5(x² + 2xh + h²) + 7 - 5x² - 7

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                   h

 

5x² + 10xh + 5h² + 7 - 5x² - 7 

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                   h

 

(10xh + 5h²) / h

 

 

 

10x + 5h

 

Answer 2

Dear Manuel,

 

Please define h.