Sketching Inverse Functions I have to find the inverse of the function $f(x) = \frac{1}{x}$, where $x \geq 3$. However in the answer, the coordinates seem to be given as $(3,1)$. Shouldn't it be $(3,\frac{1}{3})$? Or is it that since it's a sketch, it's just an estimation of how the functions would look like and so it doesn't have to be 'accurate'? 
I've just started doing these and I'm a bit confused on how I'm supposed to sketch these reflections.
When doing the inverse of a function the x-values and y-values are swapped. This would make sense why your answer would be (3,1) rather than (3,1/3). 

Another thing that is important to remember is that the inverse is relfected about the line y=x. Just something to keep in mind!
When doing the inverse of a function the x-values and y-values are swapped. This would make sense why your answer would be (3,1) rather than (3,1/3). 

Another thing that is important to remember is that the inverse is relfected about the line y=x. Just something to keep in mind!