let f(x)=2x-3 and g(x)= -x^2-1 find ( g o f) (x)

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04-07-2014
Mathematics

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let f(x)=2x-3 and g(x)= -x^2-1 find ( g o f) (x)

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Konrad509idn Konrad509idn · Answer 1 · 2014-07-04T13:26:52-04:00

Konrad509idn Konrad509idn

04-07-2014

[tex]g \circ f=-(2x-3)^2-1=-(4x^2-12x+9)-1=\\ =-4x^2+12x-9-1=-4x^2+12x-10\\[/tex]

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Kate200468idn Kate200468idn · Answer 2 · 2014-07-04T15:47:39-04:00

Kate200468idn Kate200468idn

04-07-2014

[tex]f(x)=2x-3\ \ \ and\ \ \ g(x)= -x^2-1\\\\( g \circ f) (x)=g\bigg(f(x)\bigg)=g\bigg(2x-3\bigg)=-(2x-3)^2-1=\\\\=-(4x^2-12x+9)-1=-4x^2+12x-9-1=-4x^2+12x-10[/tex]

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