If f(x) and it's inverse function, f^1(x) are both plotted on the same coordinates plane what is their point of intersection

Point of intersection of two graph: It is defined as the point at which where both graph cut to each other.

Step-by-step explanation:

We are given that f(x) and its inverse function is are poltted on the same coordinate plane.

We have to find the point of intersection.

Point of intersection of two graph: It is defined as the point at which where both graph cut to each other and value of both functions are equal at the point.

Suppose a function

Substitute x=-1 then we get

Therefore, the point of intersection is (-1,-1) because the value of both functions are equal at this point.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.