The function of y=(f)x has an inverse function. The point (3,5) is on the graph of the function y=(f)x. What on the graph would be the inverse function?

Question

anonymous · Answer

i guess that would be (5,3)

anonymous · Answer

since the inverse function switches the ordered pairs

anonymous · Answer

btw it is 
$$y=f(x)$$ and
$$y=f^{-1}(x)$$ not for example 
$$y=(f)x$$

anonymous · Answer

in other words if 
$$f(3)=5$$ then
$$f^{-1}(5)=3$$

anonymous · Answer

I thought it would make them negative.. but if you're sure.. then I guess you're right.

anonymous · Answer

Oh, thank you.(:

anonymous · Answer

oh no i am sure. think of elementary algebra, and your job is to solve for x

anonymous · Answer

say 
$$2x+1=7$$ you would say 
$$2x=6$$
$$x=3$$

anonymous · Answer

right...

anonymous · Answer

That sounds right..

anonymous · Answer

what i meant was on the graph of 
$$y=2x+1$$ is the point (3,7)
 plug in 3, get out 7

anonymous · Answer

what is the inverse?  well you just found it. subtract 1, divide by 2 so your inverse is 
$$f^{-1}(x)=\frac{x-1}{2}$$ plug in 7, get out 3

anonymous · Answer

on the graph of 
$$f(x)=2x+1$$ is the point (3,7) and on the graph of 
$$f^{-1}(x)=\frac{x-1}{2}$$ is the point (7,3) 
it switches them

anonymous · Answer

Oh, alright! I think I kinda get it, still really confusing. Just doing summer work, will be learning this in a few days none the less.