Given that f(x)=x^2-3x-54and g(x)=x-9 find (x)(f⋅g)(x)

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asked Oct 2, 2023 166k views

5 votes

Given that f(x)=x^2-3x-54and g(x)=x-9 find (x)(f⋅g)(x)

Mathematics
high-school

Niral Munjariya asked

by Niral Munjariya

7.6k points

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1 Answer

6 votes

Answer:
x^4 - 12x^3 - 27x^2 +486x

Explanation:

$(f \cdot g)(x)=f(x)g(x)\\\\=(x^2 -3x-54)(x-9)\\\\=x^3 - 9x^2 - 3x^2 + 27x - 54x + 486\\\\=x^3 -12x^2 -27x+486\\\\\therefore x(f \cdot g)(x)=x(x^3 -12x^2 -27x+486)\\\\=x^4 - 12x^3 - 27x^2 +486x$

Udo answered Oct 7, 2023

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