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)
A.-1/f(x)
B.1/f(x)
C.1-f(x)
D.-f(x)
E.f(x)
To evaluate F(-1/x), plug (-1/x) in for all instances of x in F(x):
F(x)=x^2+1/x^2
F(-1/x)=(-1/x)^2+1/((-1/x)^2)
=1/x^2+1/(1/x^2)
=1/x^2+x^2
=x^2+1/x^2
=F(x)
E
