If (7, -4) is on the graph of F(x), which point must be on the graph of the inverse function F -1(x)?

A. (-4, 7)
B. (-7, 4)
C. (7, -4)
D. (4, -7)

Question

If (7, -4) is on the graph of F(x), which point must be on the graph of the inverse function F -1(x)?

 		A.	(-4, 7)
 		B.	(-7, 4)
 		C.	(7, -4)
 		D.	(4, -7)

anonymous · Answer

hello again

mightychondrion · Answer

(-4,7) I believe since you flip the domain and range of inverse functions from the parent function

anonymous · Answer

it would be -7,4?

anonymous · Answer

wouldnt*

mightychondrion · Answer

I just did the work, it's (-4,7). I can show what I did if you'd like

mightychondrion · Answer

y=-(4/7)x because it goes through the coordinate (7,-4)
Thus, the inverse would be: x=-(4/7)y
7x=-4y
-(7/4)x=y

If you graph that inverse function, y=-(7/4)x, you find that it contains the point (-4,7)