Question

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

Answer 1

The Answer is D. (3,3) :)

Answer 2

Answer:

$\text{(3,3) is point of intersection of } f^{-1}(x)=f(x)$

Step-by-step explanation:

If f(x) and it's inverse function $f^{-1}(x)$ plot on same coordinate plane.

Both graph intersect at line y=x because y=x is line of symmetry of inverse function.

Intersection of  $f^{-1}(x)$ and f(x) would be x and y coordinate same.

Therefore, $f^{-1}(x)=f(x)=x$

We are given four options. Let we check each one.

Option 1: (0,-2)

x=0 and y=-2 , 0≠-2

This is false.

Option 2: (1,-1)  

x=1 and y=-1 , 1≠-1

This is false.

Option 3: (2,0)  

x=2 and y=0 , 2≠0

This is false.

Option 4: (3,3)  

x=3 and y=3 , 3=3

This is true.

Thus, (3,3) is point of intersection of $f^{-1}(x)=f(x)$