Question

The Inverse expression of $x+\frac{1}{x}$ will be:

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

Answer 1

The correct option is C $\frac{x}{x^2+1}$

We have, $x+\frac{1}{x}$

$\Rightarrow \frac{x^2+1}{x}$

Inverse of the above can be written as,

$\Rightarrow \frac{x}{1+x^2}$

Option C is correct