If f(x)=2x-6 and g(x)=x-2xsquared, what is g[f(3)]

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23-02-2015
Mathematics

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If f(x)=2x-6 and g(x)=x-2xsquared, what is g[f(3)]

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Konrad509idn Konrad509idn · Answer 1 · 2015-02-23T11:18:16-05:00

Konrad509idn Konrad509idn

23-02-2015

[tex]f(x)=2x-6\\ g(x)=x-2x^2\\\\ g(f(x))=2x-6-2(2x-6)^2\\ g(f(x))=2x-6-2(4x^2-24x+36)\\ g(f(x))=2x-6-8x^2+48x-72\\ g(f(x))=-8x^2+50x-78\\\\ g(f(3))=-8\cdot3^2+50\cdot3-78\\ g(f(3))=-8\cdot9+150-78\\ g(f(3))=-72+72\\ g(f(3))=0[/tex]

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