For the operation a ∗ b = a + b + 2 on R, the inverse of 3 is: A. −3 B. −7 C. −1 D. −5 Answer: B) −7 Explanation: Identity is −2. Inverse b of a: a ∗ b = −2 → a + b + 2 = −2 → b = −a − 4. For a = 3, b = −3 − 4 = −7.

imo class 12 relations and functions

For the operation a ∗ b = a + b + 2 on R, the inverse of 3 is:

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For the operation a ∗ b = a + b + 2 on R, the inverse of 3 is:

Answer: B) −7

Explanation: Identity is −2. Inverse b of a: a ∗ b = −2 → a + b + 2 = −2 → b = −a − 4. For a = 3, b = −3 − 4 = −7.