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