Math, asked by Anonymous, 8 months ago


If f(x) =x +1/x-1
then show that f(x) + f(1/x)= 0

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Answers

Answered by Anonymous
6

Answer:

f(x)+f(1/x)=0

Step-by-step explanation:

f(x)=x+1/x-1

f(1/x)=1/x+1 / 1/x-1

=1+x/x / 1-x/x (in denominator x will get cancel)

f(1/x) =1+x/1-x

now,

f(x)+f(1/x)=x+1/x-1+1+x/1-x

=x+1/x-1+1+x/-(x-1) (take minus as common just to make same denominator)

=x+1-(1+x)/x-1

= x+1-1-x/x-1

=0/x-1

f(x)+f(1/x) =0

hence provesd.

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Answered by shiva143525
1

Answer:

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