Question

I am having Doubt pls help​

Answer 1

Answer:

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