An Odd Exponential Fraction

5/10functionsFunctional Equations

Problem

The function

f(x)=2x+b2x+1+af(x) = \frac{2^x + b}{2^{x+1} + a}

is odd, with domain all of R\mathbb{R}. Find aa and bb.

Answer

Solution

Difficulty5/10
Topicsfunctions, Functional Equations

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