math problem (combination questions)

antoine1999

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Joined
Jul 21, 2019
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Hello
Can someone solve this problem for me please.
Thanks in advance.
Regards
 

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lev888

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Jan 16, 2018
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HallsofIvy

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Jan 27, 2012
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Well, I'll take a shot at it! If x= 1, all of x- 1, x- 2, x- 3, x- 4, and x- 5 are non-positive so g(1)= a0f(1)= a0= 1. Then if x= 2, all of x- 2, x- 3, x- 4, and x- 5 are non-negative so g(2)= a0f(2)+ a1f(1)= 1(2)+ a1(1)= a1+ 2= 0 so a1= -2. If x= 3, all of x- 3, x- 4, and x- 5 are non-positive so g(3)= a0f(3)+ a1f(2)+ a3f(1)= 1(3) - 2(2)+ a3(1)= 0. a3= 2- 1= 1.
 
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