function F

[success1111]

if the function F is defined by F(x)=x^2+1/x^2 for all nonzero numbers X, then F(-1/X)=

A. –1/f(x)
B. 1/f(x)
C. 1-f(x)
D. –f(x)
E. f(x)

[Vemuri]

if the function F is defined by F(x)=x^2+1/x^2 for all nonzero numbers X, then F(-1/X)=

A. –1/f(x)
B. 1/f(x)
C. 1-f(x)
D. –f(x)
E. f(x)

IMO E. The function converts back to the expression of F(x)

[scoobydooby]

F(-1/X)= (replacing xby -1/x in f(x) we get
=>(-1/x)^2+1/(-1/x)^2
=>1/x^2+x^2
=f(x)

hence, E

[success1111]

if the function F is defined by F(x)=x^2+1/x^2 for all nonzero numbers X, then F(-1/X)=

A. –1/f(x)
B. 1/f(x)
C. 1-f(x)
D. –f(x)
E. f(x)

IMO E. The function converts back to the expression of F(x)

OA is E