Question

SOLVE THIS fast:
(1/ 1 + x raised to power a-b ) + ( 1/ 1 + x raised to power b-a) = 1

Answer 1

$Given: \frac{1}{1 + x^{a - b} } + \frac{1}{1 + x^{b - a} }$

$= \ \textgreater \ \frac{1}{1 + \frac{x^a}{x^b} } + \frac{1}{1 + \frac{x^b}{x^a} }$

$= \ \textgreater \ \frac{1}{ \frac{x^b + x^a}{x^b} } + \frac{1}{ \frac{x^a + x^b}{x^a} }$

$= \ \textgreater \ \frac{x^b}{x^b + x^a} + \frac{x^a}{x^a + x^b}$

$= \ \textgreater \ \frac{x^a + x^b}{x^a + x^b}$

= 1.


Hope this helps!

Answer 2

Hi,

Please see the attached file!



Thanks