If f(2x + 1) = 3x3 + 2x2 + x + 1, where x ∈ R, then f(1 – 2x) = ?
Explanation:
Given, f(2x + 1) = 3x3 + 2x2 + x + 1
Instead of x if we substitute – x, we get
f(2(-x) + 1) = 3(-x)3 + 2(-x)2 + (-x) + 1
⇒ f(-2x + 1) = -3x3 + 2x2 - x + 1
Hence, option (c).
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