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24-05-2018
Mathematics

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Evaluate f(a + h) − f(a) for the quadratic function f(x) = x2 + 5. f(a + h) − f(a)

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31-05-2018

[tex]f(x)=x^2+5\\\\f(a+h)=(a+h)^2+5=a^2+2ah+h^2+5\\\\f(a)=a^2+5\\\\f(a+h)-f(a)=(a^2+2ah+h^2+5)-(a^2+5)=a^2+2ah+h^2-a^2-5=2ah+h^2[/tex]

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