If (3, -5) is an ordered pair of the function F(x), which of the following must be an ordered pair of the inverse of F(x)?

(3,-5)
(3,5)
(-5,3)
(5,-3)

Question

If (3, -5) is an ordered pair of the function F(x), which of the following must be an ordered pair of the inverse of F(x)?

(3,-5)
(3,5)
(-5,3)
(5,-3)

anonymous · Answer

Help please!

anonymous · Answer

I would guess the third 1

***[isuru]*** · Answer

in a inverse function the axis reverse... which means
             y axis becomes the x axis
             x axis becomes the  y axis
so... the coordinates also switch sides... which mean
          $$(3 , -5) \rightarrow ( -5 , 3)$$
so... siennasurfer is correct.
hope this will help ya :)

mathmale · Answer

@***[ISURU]*** :   It's great that you're making the effort to justify your answer by explaining an important property of "inverse functions."  My main suggestion would be that you write something like this:  "If (a, b) is a solution to function f(x), then reversing the order of the coordinates a and b produces a solution to the inverse of f(x):  

If f(a)=b, then $$f ^{-1}(b)=a$$.  In other words, (b,a) is a solution of$$y=f ^{-1}(x)$$