Respuesta :
The point of intersection of f(x) and [tex]f^{-1}(x)[/tex] is (3, 3)
The correct answer is an option (D)
What is a function?
- "It defines a relation between input and output values."
- "In function, for each input there is exactly one output."
What is inverse function?
"The inverse function of x = f(m) is m = [tex]f^{-1}(x)[/tex], where x, m are real values"
For given question,
A function f(x) and its inverse function, [tex]f^{-1}(x)[/tex] are both plotted on the same coordinate plane.
We know that the inverse function [tex]f^{-1}(x)[/tex] is the mirror image of the function f(x.)
This means, both the functions must be symmetric about the line y = x.
The curve of inverse function [tex]f^{-1}(x)[/tex] would cross the Y-axis at (0, 2), changes direction at (-1, -1) and crosses the X-axis at (-2, 0)
And both the functions intersect each other only on y = x
The point which satisfy the line y = x is (3, 3)
Therefore, the point of intersection of f(x) and [tex]f^{-1}(x)[/tex] is (3, 3)
The correct answer is an option (D)
Learn more about inverse function here:
https://brainly.com/question/2541698
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