6
QuizMultiple Choice

Inverse of a Function — Quiz

Question 6 • Precalculus

For the constant function v times x is equal to 1 , which statement describes the additive and multiplicative inverses?

Answer
A
Neither inverse is equal to v times x .
B
Both inverses are equal to v times x .
C
The additive inverse is equal to v times x , but the multiplicative inverse is not.
D
The multiplicative inverse is equal to v times x , but the additive inverse is not.

Explanation

Since v(x) = 1 for every x, its additive inverse is −v(x) = −1, which is not the same function as v(x). Its multiplicative inverse is 1/v(x) = 1, so it is equal to v(x). Therefore, the multiplicative inverse matches the function, but the additive inverse does not.

AI-written and checked against the verified answer.

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