If fx+1x=x2+1×2−1,x≠0, then f(x)=

If $f (x + \frac{1}{x}) = x^{2} + \frac{1}{x^{2}} - 1, x \neq 0$ , then $f (x) =$

A
$x^{2} - 1$
B
$x^{2} - 2$
C
$x^{2} - 3$
D
$x^{2} - 4$

Solution:

$f (x + \frac{1}{x}) = {(x + \frac{1}{x})}^{2} - 3 \Rightarrow f (x) = x^{2} - 3$

Related content

Appreciation Words

Wave Optics Mind Map

Alternating Current Mind Map for Class 12, JEE & NEET

Paramedical Courses After Class 10

Top Courses After 12th Science with PCM, PCB and PCMB

Subject Change Application in School and College

CBSE Class 10 Result 2024: Is the Release Date Early? Check Expected Schedule

Mizoram NEET Merit List 2023

Government Jobs After 12th Arts Stream

Chhattisgarh NEET UG Merit List 2023