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QuizMultiple Choice

Mathematical Modeling: Part One — Test

Question 1 • Mathematics III

If f of x and its inverse function, f inverse of x , are both plotted on the same coordinate plane, where is their point of intersection?

Answer
A
open paren 3 comma 0 close paren
B
open paren 0 comma 6 close paren
C
open paren 1 comma 4 close paren
D
open paren 2 comma 2 close paren

Explanation

A function and its inverse are reflections of each other across the line y = x. Any point where their graphs intersect must lie on that line, so its x- and y-coordinates must be equal. Of the choices, only (2, 2) has equal coordinates.

AI-written and checked against the verified answer.

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