The graph of f(x) is shown below. if f(x) and its inverse function, mc008-2.jpg, are both plotted on the same coordinate plane, where is their point of intersection? (0, 6) (1, 4) (2, 2) (3, 0)

we are given graph of f(x)

we will find function of f(x) and it's inverse and then we can find it's intersection points

calculation of f(x):

we can select any two points

(0,6) and (3,0)

so, x1=0 , y1=6

x2=3 , y2=0

now, we can find slope

now, we can plug values

now, we can use point slope form of line

we can plug values

so, we get

calculation of inverse function g(x):

for finding inverse function , we set f(x)=y

now, we switch x and y

now, we can solve for y

so, we get

calculation of intersection points:

we can set f(x)=g(x)

and then we can solve for x

now, we can find y-value

so, we get

intersection point is (2,

the solution is 12x-6y