Answer:
(2,2)
Step-by-step explanation:
The point of their intersection is
Line that go near through the points
(0,6) and
(3,0)
Determine the slope
[tex]m = \frac{0-6}{3-0}[/tex]
= -2
The function f(x) while intercept the slope is equivalent to
f(x) = -2x + 6
Now replace tha variable for x to y and y to x
Now we will assume y = f(x)
So, y = -2y + 6
Now Isolate the variable y
2y = -x + 6
y = -0.5x + 3
Assume
[tex]f^{-1} (x) = y\\\\f^{-1} (x) = -0.5x + 3[/tex]
Now we will solve the equations
[tex]f(x) = -2x + 6\\\\f^{-1}(x) = -0.5x + 6[/tex]
Now equate these two equations like as below
-0.5x + 3 = -2x + 6
now we will solve the value of x
2x - 0.5x = 6 - 3
1.5x = 3
x = 2
Now put the value of x in any of the equations
f(x) = -2(2) + 6 = 2
The solution is the point (2,2)
Hence,
Their point of intersection is (2,2)
