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3 years ago

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Simplify

7Bx%7D%20" id="TexFormula1" title=" \frac{ \frac{1}{x+h} + \frac{1}{x} }{x} " alt=" \frac{ \frac{1}{x+h} + \frac{1}{x} }{x} " align="absmiddle" class="latex-formula">

1 answer:

liubo4ka [24]3 years ago

7 0

$\bf \cfrac{\frac{1}{x+h}+\frac{1}{x}}{x}\implies \cfrac{\frac{(x\cdot 1)+(1\cdot (x+h))}{x(x+h)}}{\frac{x}{1}}\implies \cfrac{\frac{x+x+h}{x(x+h)}}{\frac{x}{1}}\implies \cfrac{x+x+h}{x(x+h)}\cdot \cfrac{1}{x}
\\\\\\
\cfrac{2x+h}{x^2(x+h)}$

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We are given the following in the question:

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Sample standard deviation, s = 0.55 hours

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