Working on the book: Daniel J. Velleman. "HOW TO PROVE IT: A Structured Approach, Second Edition" (p. 150)
Example 3.6.3. Prove that for every real number $x$, if $x \neq 2$ then there is a unique real number $y$ such that $2y/(y + 1) = x$.
My questions:
- Is it possible to rephrase it in terms of functions ?
- Am I asked to show that the function $f(x)=2x/(x + 1)$ (domain: $\mathbb{R}-\{2\}$) has range = $\mathbb{R}$ ?