Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

how do the coordinates of a function and its inverse relate to each oth…

Question

how do the coordinates of a function and its inverse relate to each other?
they are inversely proportional
they are identical
they are squared
they are swapped

Explanation:

Brief Explanations

For a function \(f(x)\) where if \((a, b)\) is a point on \(f(x)\) (meaning \(f(a)=b\)), its inverse function \(f^{-1}(x)\) will have the point \((b, a)\) (since \(f^{-1}(b)=a\)). This means the x and y coordinates of each point are swapped between the function and its inverse.

Answer:

They are swapped