BloomLocke367 BloomLocke367

28-07-2018
Mathematics

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If [tex] g(x)=\frac{1}{x} [/tex] and [tex] h [/tex] is a nonzero real number, then [tex] \frac{g(x+h)-g(x)}{h}= [/tex]

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sqdancefan sqdancefan

28-07-2018

Fill in the given values and simplify.

[tex]\dfrac{g(x+h)-g(x)}{h}=\dfrac{\dfrac{1}{x+h}-\dfrac{1}{x}}{h}\\\\=\dfrac{x-(x+h)}{h\cdot x(x+h)}\\\\=\dfrac{-1}{x(x+h)}[/tex]

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