Mark (√) against the correct answer in the following:

Question:

Mark (√) against the correct answer in the following:

If $f\left(x+\frac{1}{x}\right)=x^{2}+\frac{1}{x^{2}}$ then $f(x)=?$

A. $x^{2}$

B. $\left(x^{2}-1\right)$

C. $\left(x^{2}-2\right)$

D. None of these 

Solution:

$f\left(x+\frac{1}{x}\right)=x^{2}+\frac{1}{x^{2}}=\left(x+\frac{1}{x}\right)^{2}-2$

$\Rightarrow \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}-2$

Leave a comment

None
Free Study Material