Question

If $f\left(y\right)=\log y$, then $f\left(y\right)+f\left(1/y\right)$ is equal to

• A. $2$
• B. $1$
• C. $0$
• D. $-1$

Answer 1

The correct option is C $0$

$\text{Griven,}f\left(y\right)=\log y$

$f\left(y\right)+f\left(\frac{1}{y}\right)$

$\Rightarrow \log y+\log \left(\frac{1}{y}\right)$

$\Rightarrow \log y+\log \left(\right(y{)}^{-1})$

$\Rightarrow \log y-\log y$

$\Rightarrow 0$

$\therefore \text{option}c=0$