Question

Find The Multiplicative Inverse of ====>

(x+1) + {1/(x+1)}

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Answer 1

Hey there!

Multiplicative inverse is the reciprocal of the number.,which when multiplied by the number gives 1 as a result

(x+1) + 1/(x+1)

=(x+1)²+1/(x+1)

=x²+1+2x+1/(x+1)

=x²+2+2x/(x+1)

Mulitiplicate inverse
=1/Given Number
=1/ [x²+2+2x]/(x+1)
= (x+1)/x²+2+2x

hope helped!

Answer 2

Hi 0↓,

Multiplicative inverse of (x+1) + {1/(x+1)} :-

→ take LCM,

LCM is (x+1)

→ {(x+1)²+1}/(x+1)

→ {x²+1²+2(x)(1) + 1}/(x+1)

→ {x²+1+2x+1}/(x+1)

→ {x²+2x+2}/(x+1)

Multiplicative inverse is reciprocal of given number.

→ 1÷(x²+2x+2)/(x+1)

→ (x+1)/(x²+2x+2)

Hope it helps....