If f(x) =x-1/x+1,then show that
(i) f(1/x) = -f(x)
(ii) f(-1/x) =-1/f(x)
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Step-by-step explanation:
f(1/x)=1/x_1/1/x+1
1_x/x/1+x/x
=1_x/1+x
=_(x_1)/x+1
=_f(x)
f(_1/x)=_1/x_1/_1/x+1
=_1_x/x/_1+x/x
= _(1+x)/x_1
=_(1/x_1/x+1)
=_1/f(x)
Hence Proved
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