### Combining Functions

Starting with a function $f(x)=2x+1$ defined for $x$ as any real number, we can represent it as a function machine. We put $x$ in at the left and get $f(x)$ out at the right.
The inverse function, $f^{-1}$, is such that if we put in $f(x)$ we’ll get out $x$. Fill in the boxes below so that if you put in $2x+1$ at the right, you get $x$ out at the left.
To find out what the inverse function is, use the same machine, put in $x$ at the right and see what comes out at the left. The expression that comes out at the left is equal to $f^{-1}(x)$.