Whats the difference or distinction?

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- Feb 12th 2006, 06:02 PMc_323_hWhat's the difference betwen inverse and reciprocal?
Whats the difference or distinction?

- Feb 13th 2006, 12:49 AMjacs
reciprocal simply means 1 over

the reciprocal of x is 1/x

the reciprocal of something like √x is 1/√x

inverse is the "opposite" of the function

the inverse of √x is x² since the square and the root effectively 'undo' each other

2x + 1 woudl have and inverse of ½(x - 1)

the reciprocal woudl be

$\displaystyle

\frac{1}{2x+1}

$ - Feb 13th 2006, 02:04 PMThePerfectHackerQuote:

Originally Posted by**c_323_h**

A function $\displaystyle g(x)$ such as $\displaystyle f(x)g(x)=1$ for all $\displaystyle f\not = 0$ is called the reciprocal function.

A function $\displaystyle g(x)$ such as $\displaystyle g(f(x))=f(g(x))=x$ for all $\displaystyle x$ is called the inverse function.