Exploring Quantum Physics - More about Hermitian Operator

It always confuse me when we have equation like this

$\langle \psi|\hat{A}$

What on earth does that mean? Why do we put an operator to the left of the function being applied?
I decided to dig deeper.

According to Wikipedia, a Hermitian Operator in a Hilbert space has this property.

$\langle \hat{A} x, y \rangle = \langle x, \hat{A} y \rangle$. The angle brackets are NOT bra-ket notation, they represents inner product.

So we can write $\langle \hat{A} x| \hat{B} y \rangle = \langle x | \hat{A} \hat{B} y \rangle$. This time we indeed mean the bra-ket notation.