Comparing a Function and Its Inverse — Quiz

Question 26 • Precalculus

Which explanation could be used to verify whether the functions are inverses?

Answer

Neither of the lines is parallel to the line y is equal to x ; therefore, the functions are inverses of each other.

The point of intersection of the two functions is not on the line y is equal to x ; therefore, the functions are inverses of each other.

The point of intersection of the two functions is not on the line y is equal to x ; therefore, the functions are not inverses of each other.

Neither of the lines is parallel to the line y is equal to x ; therefore, the functions are not inverses of each other.

Explanation

Graphs of inverse functions are reflections of each other across the line y = x. Any point where they intersect must lie on that line. Therefore, if the functions intersect at a point not on y = x, they are not inverses; this is choice C.

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