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    Find f(g(x)) for f(x)=-3x-6 and g(x)=-1/2x+3  and the equation of the line...

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applejacks2 | eNotes Newbie

Posted October 5, 2013 at 2:36 AM via web

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Find f(g(x)) for f(x)=-3x-6 and g(x)=-1/2x+3  and the equation of the line through points (10,12) and (16,14)?

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aruv | High School Teacher | Valedictorian

Posted October 5, 2013 at 2:58 AM (Answer #1)

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f(x)=-3x-6

g(x)=(-1/2)x+3

f(g(x))=f((-1/2)x+3)

=-3((-1/2)x+3)-6

=(3/2)x-9-6

=(3/2)x-15

Equation of line through points (10,12) and (16,64)

`y-12=((64-12)/(16-10))(x-10)`

`y-12=(52/6)(x-10)`

`3(y-12)=26(x-10)`

`3y-36=26x-260`

`26x-3y=260-36`

`26x-3y=224`

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