10
QuizMultiple Choice

Inverse of a Function

Question 10 • GA-GSE Pre-Calculus

For the constant function v(x) = 1, which statement describes the additive and multiplicative inverses?

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

Explanation

The additive inverse of v(x) = 1 is −1, since 1 + (−1) = 0, so it is not equal to v(x). The multiplicative inverse is 1, since 1 × 1 = 1, so it is equal to v(x). Therefore, the multiplicative inverse is equal to v(x), but the additive inverse is not.

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