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Calculus

Functions, Evaluation

jee_adv_2026_mock_p2

Grade 12

Question:

The value of f(1/2) + f(3/2) is:

A. 0

B. -1/4

C. 1/4

D. 1/2

Step-by-Step Solution

Key Concept: Direct substitution using f(x) = (x-1)^3.

Step 1: f(1/2) = (1/2 - 1)^3 = (-1/2)^3 = -1/8. Step 2: f(3/2) = (3/2 - 1)^3 = (1/2)^3 = 1/8. Step 3: Sum = -1/8 + 1/8 = 0.

Correct Answer: A

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