If , where ,…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If

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

, where

x\ne0

, then

f(x)=

(a)

x^2-2

for

|x|\geq2

(b)

2-x^2

for

|x|\leq2

(c)

x^2-1

for

|x|\geq1

(d)

x^2+1

for

|x|\geq2

Related theory

Browse the problem library