If f(x) and its inverse function, f-1(x), are both plotted on the same coordinate plane, where is their point of intersection? (0, 6) (1, 4) (2, 2) (3, 0)

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,  (if exists) is such that  if f(x)=y, then .

So if (a, b) is a particular point in the graph of f, then (b, a) is a point in the graph of  .

 
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.

(2, 2)

Hope this ; )