SOLUTION: If f(x)= x+ 1/x, show that f(x).f(x+1/x)=f(x^2)+3 Thanks!! :)

SOLUTION: If f(x)= x+ 1/x, show that f(x).f(x+1/x)=f(x^2)+3 Thanks!! :)

Algebra.Com

Question 824124: If f(x)= x+ 1/x, show that f(x).f(x+1/x)=f(x^2)+3
Thanks!! :)
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!

LHS:

RHS:

RELATED QUESTIONS
Given f(x)=2^x ... show that f(x+3)-f(x-1) = 15/2... (answered by josgarithmetic)

If f( x ) = ( x - 2 )^3 , then f^-1 ( x ) = (answered by tommyt3rd)

f(x)=1/1-x find: 1.f'(x) 2.f"(x)... (answered by ewatrrr)

f(1) =... (answered by ikleyn)

f(x) = x+3 f^-1(x)... (answered by Nfrey78)

Graph f(x)=x^2 and show f(1), f(2),... (answered by stanbon)

if f(x)=5-3x divide by 2 and f-1(x)=5-2x divide by 3 show that... (answered by greenestamps)

if f(x)+f(1/x) = x + 1/x +2 then find... (answered by richard1234)

If f(f^-1(x))=x,... (answered by stanbon)