# if f:A-B given by 3^f(x) +2^-x=4 is a bijection then what are the values of A and B?

Arun Kumar IIT Delhi
8 years ago
$for \, any \, n \left \lfloor \sqrt{n^{2}+x} \right \rfloor = n+1\, when \,(n+1)^2-n^2

For better clarification try finding x for n=2,3 any smaller value and see the pattern

Arun Kumar
IIT Delhi
Arun Kumar IIT Delhi
8 years ago
For bijection both the set has to be finite
one one and onto function mapping

from you writing question seems to be
$f(x)=(4-2^{-x})/3$

for which domain is infinte
something is missing in the question