Hi, in our math class we're reviewing content from previous years, and I've run into a problem! This is the question:

The function r(x) = is transformed by a translation of 3 units up and 5 units to the right. The transformed function passes through the point (x,7). The value of x to the nearest hundredth is __.

The answer I'm getting for x is 6:

Am I overlooking something? The answer in the back of the book says 2.25, however I know the back of the book has been wrong in the past so I'd like to see if it's my mistake or the back of the books mistake. Thanks in advance!