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Question
Answer the following:
If f(x) = 3x4 – 5x2 + 7 find f(x – 1)
Solution
f(x) = 3x4 – 5x2 + 7
∴ f(x – 1) = 3(x – 1)4 – 5(x – 1)2 + 7
= 3(x4 – 4C1 x3 + 4C2 x2 – 4C3 x + 4C4) – 5(x2 – 2x + 1) + 7
= 3(x4 – 4x3 + 6x2 – 4x + 1) – 5(x2 – 2x + 1) + 7
= 3x4 – 12x3 + 18x2 – 12x + 3 – 5x2 + 10x – 5 + 7
= 3x4 – 12x3 + 13x2 – 2x + 5
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