Question

Additive inverse of the rational expression $x-\frac{1}{x}$ will be:

• A. $x+\frac{1}{x}$
• B. $-x+\frac{1}{x}$
• C. $\frac{x^2-1}{x}$
• D. $-\frac{1}{x}+x$

Answer 1

Answer: (B)

$-x+\frac{1}{x}$

The additive inverse of a number is a number when added to original number yields zero

Let the additive inverse of this number be A

According to the property of the additive inverse

$A+x-\frac{1}{x}=0$

so $A=-x+\frac{1}{x}$

Hence answer is b