Question

If f(x) and its inverse function,f-1(x), are both plotted on the same coordinate plane, where is their point of intersection?

Answer 1

Answer:

C. (2, 2)

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps! :)

Answer 2

Consider f, such that f(x)=y, where x is in the Domain of f, and y is in the Range of f.

Let f(a)=b. So, (a, b) is in the graph of f.


The inverse function of f, $f^{-1}$ (if exists) is such that  if f(x)=y, then $f^{-1}(y)=x$.

So if (a, b) is a particular point in the graph of f, then (b, a) is a point in the graph of  $f^{-1}$.

 
A point where they intersect is a point where (a, b)=(b, a), that is a=b. Among our choices, only (2, 2) satisfies this condition.


Answer: (2, 2)