Question

Given : f(x) = 4^x/(4^x + 2) ;
Find:
f(1/81) + f(2/81) + f(3/81) + ...... + f(80/81).

Answer 1

Answer:

Step-by-step explanation:

For the function mentioned,

Note that f(x) + f(1-x) = 4x/(4x+2) + 41-x/(41-x+2) = 4x/(4x+2) +2/(4x+2) = 1

 

So f(1/97)+f(96/97) = f(1/97) + f(1-1/97) = 1

Similarly f(2/97)+f(95/97) = 1

 

So the required sum = 1+1+1+......48 times

Henct the required sum = 48.

 

Option (B)

 

Hope that helps.

Answer 2

Answer:

42

Step-by-step explanation:

HOPE IT WILL HELP YOU