Question

if x is the reciprocal of y then what is the reciprocal of 1/x​

Answer 1

SOLUTION

GIVEN

x is the reciprocal of y

TO DETERMINE

The reciprocal of 1/x

EVALUATION

Here it is given that

x is the reciprocal of y

$\displaystyle \sf{ \therefore \: x = \frac{1}{y} }$

Now

Reciprocal of $\displaystyle \sf{ \frac{1}{x} }$

$\displaystyle \sf{ = \frac{1}{ \frac{1}{x} } }$

$\displaystyle \sf{ = 1 \times \frac{x}{1} }$

$\displaystyle \sf{ = x}$

$\displaystyle \sf{ = \frac{1}{y} }$

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