Math, asked by kumardevjith, 6 months ago

If f(x) =x-1/x+1,then show that
(i) f(1/x) = -f(x)
(ii) f(-1/x) =-1/f(x)

Answers

Answered by manjushamaruboina
1

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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