# Math Help - Reading a function

okay, so i need to determine whether or not f is one-to-one and onto. if so, find f^-1.

im pretty sure i can do it, i just dont know how to read the thing.

A=R \ {0} and B=R \ {2} and f: A->B

f(x)= 1/x + 2

where R is the reals. can anyone please explain to me how to read that?

2. $f:A\to B$ is bijective if and only if $\forall y\in B$, the equation $f(x)=y$ has an unique solution $x\in A$

Now, let $y\in\mathbf{R}-\{2\}$

$\displaystyle f(x)=y\Leftrightarrow \frac{1}{x}+2=y\Leftrightarrow \frac{1}{x}=y-2\Leftrightarrow x=\frac{1}{y-2}\in\mathbf{R}-\{0\}$