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Hannahbrook13
Hannahbrook13 Hannahbrook13
  • 23-02-2015
  • Mathematics
Answered

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

Verified Answer :

konrad509
konrad509 konrad509
  • 23-02-2015

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

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