Question

find the multiplicative inverse of (X+1)+(1/x-1)
$plzzz \: anybody \: solve \: it$
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Answer 1

Step-by-step explanation:

FIRSTLY, Simplify the given expression

$(x + 1) + \: \frac{1}{(x - 1)} \\ \\ \\ \\ \\ \\ = \frac{(x + 1)(x - 1) + 1}{x - 1} \\ \\ \\ \\ = \frac{x {}^{2} }{x - 1}$

NOW, Let us see what multiplicative inverse means,

So, if a is any real number except zero, then multiplicative inverse is the number which when multiplied to a gives 1

that is 1/a

APPLYING similar logic here

Multiplicative inverse is

$\\ = \frac{x - 1}{x {}^{2} }$