Prove that

Question:

If $f(x)=\frac{x-1}{x}$, find the value of $\left\{\frac{1}{x}\right\}$

 

Solution:

Given, $f(x)=\frac{x-1}{x}$

$F(x)=1-1 / x$

To find $f(1 / x)$ replacing $x$ by $1 / x$

$F(1 / x)=1-1 /(1 / x)$

$F(1 / x)=1-x$

 

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