If F(x) = 3x^4 – 5x^2 + 7, Find F(x – 1). - Sarthaks EConnect

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Ask a Question If f(x) = 3x^4 – 5x^2 + 7, find f(x – 1). ← Prev Question Next Question → 0 votes 642 views asked Feb 18, 2022 in Sets, Relations and Functions by Moniseth (44.2k points) closed Feb 24, 2022 by Moniseth

If f(x) = 3x4 – 5x2 + 7, find f(x – 1).

• functions
• class-11

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1 Answer

+1 vote answered Feb 18, 2022 by AnantShaw (44.2k points) selected Feb 24, 2022 by Moniseth Best answer

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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